{"results":"\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='840444' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-lesson-plan\"\u003e\u003ci class=\"fa-solid fa-book resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eLesson Plan\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Solving Various Algebraic Equations for Real and Imaginary Roots Lesson plan\" href=\"/teachers/solving-various-algebraic-equations-for-real-and-imaginary-roots\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Solving Various Algebraic Equations for Real and Imaginary Roots Lesson Plan\" title=\"Solving Various Algebraic Equations for Real and Imaginary Roots Lesson Plan\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-pdf.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/268687/large/odqwndq0lnbuzw.png?1414466337\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eCurated OER\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Solving Various Algebraic Equations for Real and Imaginary Roots'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Solving Various Algebraic Equations for Real and Imaginary Roots Lesson plan\" href=\"/teachers/solving-various-algebraic-equations-for-real-and-imaginary-roots\"\u003eSolving Various Algebraic Equations for Real and Imaginary Roots\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Teachers\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e10th - 12th\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nIn this solving equations worksheet, students solve forty-four algebraic equations for real and imaginary solutions. Types of equations include higher degress polynomials, rational equationals, radical equations, and square roots inside...\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Solving Various Algebraic Equations for Real and Imaginary Roots Lesson plan\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_resources_tab\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=840444\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Solving Various Algebraic Equations for Real and Imaginary Roots Lesson plan\" href=\"/teachers/solving-various-algebraic-equations-for-real-and-imaginary-roots\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='780945' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-lesson-plan\"\u003e\u003ci class=\"fa-solid fa-book resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eLesson Plan\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Who am I? Find A Polynomial From Its Roots Lesson plan\" href=\"/teachers/who-am-i-find-a-polynomial-from-its-roots\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Who am I? Find A Polynomial From Its Roots Lesson Plan\" title=\"Who am I? Find A Polynomial From Its Roots Lesson Plan\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/missing.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/240218/large/nzgwotq1lmpwzw.jpg?1414325383\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eCurated OER\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Who am I? Find A Polynomial From Its Roots'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Who am I? Find A Polynomial From Its Roots Lesson plan\" href=\"/teachers/who-am-i-find-a-polynomial-from-its-roots\"\u003eWho am I? Find A Polynomial From Its Roots\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Teachers\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e9th - 12th\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nHigh schoolers generate the equation of a polynomial given its roots and the end behavior of the function. They need to apply theorems concerning the multiplicity of roots, conjugates of irrational or imaginary roots to find a...\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Who am I? Find A Polynomial From Its Roots Lesson plan\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=780945\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Who am I? Find A Polynomial From Its Roots Lesson plan\" href=\"/teachers/who-am-i-find-a-polynomial-from-its-roots\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='702236' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-worksheet\"\u003e\u003ci class=\"fa-solid fa-pen-to-square resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eWorksheet\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Analyzing and Solving Polynomial Equations Worksheet\" href=\"/teachers/analyzing-and-solving-polynomial-equations\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Analyzing and Solving Polynomial Equations Worksheet\" title=\"Analyzing and Solving Polynomial Equations Worksheet\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-pdf.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/208739/large/cgrmlwnvbnzlcnqymdezmdmzmc0ynja3os00enlwnwguanbn.jpg?1414301181\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eCurated OER\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Analyzing and Solving Polynomial Equations'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Analyzing and Solving Polynomial Equations Worksheet\" href=\"/teachers/analyzing-and-solving-polynomial-equations\"\u003eAnalyzing and Solving Polynomial Equations\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e9th - 11th\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nIn this polynomial equations worksheet, students identify the number of complex roots, real and imaginary roots, and the number of positive and negative roots. This four page worksheet contains 18 multi-step problems. Answers to the...\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Analyzing and Solving Polynomial Equations Worksheet\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=702236\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Analyzing and Solving Polynomial Equations Worksheet\" href=\"/teachers/analyzing-and-solving-polynomial-equations\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='637178' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-worksheet\"\u003e\u003ci class=\"fa-solid fa-pen-to-square resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eWorksheet\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Topic 6.4 - The Quadratic Formula and Discriminant Worksheet\" href=\"/teachers/topic-64-the-quadratic-formula-and-discriminant\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Topic 6.4 - The Quadratic Formula and Discriminant Worksheet\" title=\"Topic 6.4 - The Quadratic Formula and Discriminant Worksheet\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-pdf.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/188143/large/bwluav9tywdpy2symde0mdqwnc0zodutchlxzgywlmpwzw.jpg?1396662914\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eCurated OER\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Topic 6.4 - The Quadratic Formula and Discriminant'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Topic 6.4 - The Quadratic Formula and Discriminant Worksheet\" href=\"/teachers/topic-64-the-quadratic-formula-and-discriminant\"\u003eTopic 6.4 - The Quadratic Formula and Discriminant\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e9th - 11th\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nFor this quadratic equation worksheet, students find the exact value of the discriminant and describe the nature of the roots of each quadratic equation. They then solve the equation. There are 9 problems on this page to solve.\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Topic 6.4 - The Quadratic Formula and Discriminant Worksheet\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=637178\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Topic 6.4 - The Quadratic Formula and Discriminant Worksheet\" href=\"/teachers/topic-64-the-quadratic-formula-and-discriminant\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='786142' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-lesson-plan\"\u003e\u003ci class=\"fa-solid fa-book resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eLesson Plan\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Discriminating Against the Zero Lesson plan\" href=\"/teachers/discriminating-against-the-zero\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Discriminating Against the Zero Lesson Plan\" title=\"Discriminating Against the Zero Lesson Plan\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/missing.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/242817/large/nzg2mtqylnbuzw.png?1414327179\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eCurated OER\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Discriminating Against the Zero'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Discriminating Against the Zero Lesson plan\" href=\"/teachers/discriminating-against-the-zero\"\u003eDiscriminating Against the Zero\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Teachers\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e9th - 12th\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-circle-check'\u003e\u003c/i\u003e\n\u003cspan class='resource-standards'\u003eStandards\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nLearners explore the concept of quadratic equations.\u0026nbsp; For this quadratic equations lesson, students find the roots or zeros of quadratic equations using the quadratic formula.\u0026nbsp; Learners give examples of functions with 2 real,...\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Discriminating Against the Zero Lesson plan\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=786142\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Discriminating Against the Zero Lesson plan\" href=\"/teachers/discriminating-against-the-zero\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='820631' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-worksheet\"\u003e\u003ci class=\"fa-solid fa-pen-to-square resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eWorksheet\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Complex Roots Made Visible Worksheet\" href=\"/teachers/complex-roots-made-visible\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Complex Roots Made Visible Worksheet\" title=\"Complex Roots Made Visible Worksheet\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/missing.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/260269/large/bwluav9tywdpy2symde3mdqxmc0znzuyltezb2lrm2uuanbn.jpg?1491813682\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eCurated OER\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Complex Roots Made Visible'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Complex Roots Made Visible Worksheet\" href=\"/teachers/complex-roots-made-visible\"\u003eComplex Roots Made Visible\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e11th\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nIn this algebra learning exercise, 11th graders solve quadratic functions using the quadratic formula. They identify the negative roots using complex roots. There is an answer key with this problem.\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Complex Roots Made Visible Worksheet\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=820631\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Complex Roots Made Visible Worksheet\" href=\"/teachers/complex-roots-made-visible\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='837463' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-worksheet\"\u003e\u003ci class=\"fa-solid fa-pen-to-square resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eWorksheet\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Polynomial Function Exam 4 Worksheet\" href=\"/teachers/polynomial-function-exam-4\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Polynomial Function Exam 4 Worksheet\" title=\"Polynomial Function Exam 4 Worksheet\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-pdf.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/266833/large/odm3ndyzlnbuzw.png?1414464636\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eCurated OER\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Polynomial Function Exam 4'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Polynomial Function Exam 4 Worksheet\" href=\"/teachers/polynomial-function-exam-4\"\u003ePolynomial Function Exam 4\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e10th - 12th\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nIn this polynomial worksheet, learners solve 12 questions. The first five questions deal with the roots of the polynomials. Students state the inverse for one problem and the reciprocal for one problem. They make three graphs, and...\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Polynomial Function Exam 4 Worksheet\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=837463\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Polynomial Function Exam 4 Worksheet\" href=\"/teachers/polynomial-function-exam-4\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='820576' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-worksheet\"\u003e\u003ci class=\"fa-solid fa-pen-to-square resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eWorksheet\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Academic Algebra II 1st Semester Exam Worksheet\" href=\"/teachers/academic-algebra-ii-1st-semester-exam-9th-12th\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Academic Algebra II 1st Semester Exam Worksheet\" title=\"Academic Algebra II 1st Semester Exam Worksheet\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-pdf.png\" data-src=\"//lessonplanet.com/content/resources/thumbnails/259846/large/bwluav9tywdpy2symde3mdqxmc0xntezmi05ag05bduuanbn.jpg?1491812662\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eCurated OER\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Academic Algebra II 1st Semester Exam'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Academic Algebra II 1st Semester Exam Worksheet\" href=\"/teachers/academic-algebra-ii-1st-semester-exam-9th-12th\"\u003eAcademic Algebra II 1st Semester Exam\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e9th - 12th\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nIn the semester exam, students solve problems dealing the the discriminant of quadratic equations, systems of equations, linear equations and inequalities.\u0026nbsp;Students also\u0026nbsp;simplify radicals, complete squares, and find the inverse...\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Academic Algebra II 1st Semester Exam Worksheet\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=820576\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Academic Algebra II 1st Semester Exam Worksheet\" href=\"/teachers/academic-algebra-ii-1st-semester-exam-9th-12th\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='1226328' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-instructional-video\"\u003e\u003ci class=\"fa-solid fa-circle-play resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eInstructional Video\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Khan Academy: The Imaginary Unit I: Imaginary Roots of Negative Numbers Instructional video\" href=\"/teachers/khan-academy-the-imaginary-unit-i-imaginary-roots-of-negative-numbers\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Khan Academy: The Imaginary Unit I: Imaginary Roots of Negative Numbers Instructional Video\" title=\"Khan Academy: The Imaginary Unit I: Imaginary Roots of Negative Numbers Instructional Video\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-knovation.png\" data-src=\"https://content.lessonplanet.com/knovation/original/215821-eaf5946c267b0cff602fec3b541076d0.jpg?1661823174\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eKhan Academy\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Khan Academy: The Imaginary Unit I: Imaginary Roots of Negative Numbers'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Khan Academy: The Imaginary Unit I: Imaginary Roots of Negative Numbers Instructional video\" href=\"/teachers/khan-academy-the-imaginary-unit-i-imaginary-roots-of-negative-numbers\"\u003eKhan Academy: The Imaginary Unit I: Imaginary Roots of Negative Numbers\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e9th - 10th\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-circle-check'\u003e\u003c/i\u003e\n\u003cspan class='resource-standards'\u003eStandards\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nVideo shows how to simplify the square root of a negative number using the imaginary unit i.\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Khan Academy: The Imaginary Unit I: Imaginary Roots of Negative Numbers Instructional video\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1226328\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Khan Academy: The Imaginary Unit I: Imaginary Roots of Negative Numbers Instructional video\" href=\"/teachers/khan-academy-the-imaginary-unit-i-imaginary-roots-of-negative-numbers\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='1226327' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-instructional-video\"\u003e\u003ci class=\"fa-solid fa-circle-play resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eInstructional Video\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Khan Academy: Algebra: Complex Numbers: Imaginary Roots of Negative Numbers Instructional video\" href=\"/teachers/khan-academy-algebra-complex-numbers-imaginary-roots-of-negative-numbers\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Khan Academy: Algebra: Complex Numbers: Imaginary Roots of Negative Numbers Instructional Video\" title=\"Khan Academy: Algebra: Complex Numbers: Imaginary Roots of Negative Numbers Instructional Video\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-knovation.png\" data-src=\"https://content.lessonplanet.com/knovation/original/215820-b72d0d7ad0c1d51854bb7c4d2ec42061.jpg?1661195334\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eKhan Academy\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Khan Academy: Algebra: Complex Numbers: Imaginary Roots of Negative Numbers'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Khan Academy: Algebra: Complex Numbers: Imaginary Roots of Negative Numbers Instructional video\" href=\"/teachers/khan-academy-algebra-complex-numbers-imaginary-roots-of-negative-numbers\"\u003eKhan Academy: Algebra: Complex Numbers: Imaginary Roots of Negative Numbers\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e9th - 10th\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-circle-check'\u003e\u003c/i\u003e\n\u003cspan class='resource-standards'\u003eStandards\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nVideo shows how to simplify the square root of a negative number using the imaginary unit i. [4:04]\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Khan Academy: Algebra: Complex Numbers: Imaginary Roots of Negative Numbers Instructional video\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1226327\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Khan Academy: Algebra: Complex Numbers: Imaginary Roots of Negative Numbers Instructional video\" href=\"/teachers/khan-academy-algebra-complex-numbers-imaginary-roots-of-negative-numbers\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='1279045' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-custom\"\u003e\u003ci class=\"fa-solid fa-file resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eHandout\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Purplemath: Complex Numbers: Introduction Handout\" href=\"/teachers/purplemath-complex-numbers-introduction\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Purplemath: Complex Numbers: Introduction Handout\" title=\"Purplemath: Complex Numbers: Introduction Handout\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-knovation.png\" data-src=\"https://content.lessonplanet.com/knovation/original/409533-5c063adb018d1705bd85a17eb5b54d13.jpg?1661190988\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003ePurple Math\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Purplemath: Complex Numbers: Introduction'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Purplemath: Complex Numbers: Introduction Handout\" href=\"/teachers/purplemath-complex-numbers-introduction\"\u003ePurplemath: Complex Numbers: Introduction\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e9th - 10th\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-circle-check'\u003e\u003c/i\u003e\n\u003cspan class='resource-standards'\u003eStandards\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nThis website provides an in-depth lesson on complex numbers. You learn about simplifying, adding, and multiplying complex numbers by viewing example problems that are worked through step-by-step. Continue on to pages 2 and 3 which...\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Purplemath: Complex Numbers: Introduction Handout\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1279045\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Purplemath: Complex Numbers: Introduction Handout\" href=\"/teachers/purplemath-complex-numbers-introduction\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='1281255' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-custom\"\u003e\u003ci class=\"fa-solid fa-arrows-rotate resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eActivity\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Integrated Publishing: The Discriminant Activity\" href=\"/teachers/integrated-publishing-the-discriminant\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Integrated Publishing: The Discriminant Activity\" title=\"Integrated Publishing: The Discriminant Activity\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-knovation.png\" data-src=\"https://content.lessonplanet.com/knovation/original/436833-5a61b6286e30a003357ab01f0b56dd0f.jpg?1661452429\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eIntegrated Publishing\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Integrated Publishing: The Discriminant'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Integrated Publishing: The Discriminant Activity\" href=\"/teachers/integrated-publishing-the-discriminant\"\u003eIntegrated Publishing: The Discriminant\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e9th - 10th\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\nA thorough investigation of what the discriminant is and how it is used. Contains examples and exercises, with answers on the page.\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Integrated Publishing: The Discriminant Activity\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_resources_tab\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1281255\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Integrated Publishing: The Discriminant Activity\" href=\"/teachers/integrated-publishing-the-discriminant\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n\u003cdiv class='relative search-result-item thumbnail-card no-access' data-id='1285125' data-is-require-teacher-acknowledgment='false' data-item-type='CollectionItemResource' data-type='Resource'\u003e\n\n\u003cdiv class='panel panel-default panel-resource mb-0 border-none'\u003e\n\u003cdiv class='resource-card-loader'\u003e\u003c/div\u003e\n\u003cdiv class='resource-type-banner'\u003e\n\u003cdiv class=\"type-resource type-unit-plan\"\u003e\u003ci class=\"fa-solid fa-bars resource-icon\"\u003e\u003c/i\u003e\u003cspan class=\"ml-5 relative z-10\"\u003eUnit Plan\u003c/span\u003e\u003cspan class=\"resource-bg\"\u003e\u003c/span\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap-width-helper'\u003e\u003c/div\u003e\n\u003cdiv class='thumb-img-wrap'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Ck 12: Analysis: Quadratic Formula and Complex Sums Unit plan\" href=\"/teachers/ck-12-foundation-analysis-quadratic-formula-and-complex-sums-487531\"\u003e\u003cimg class=\"resource-img img-thumbnail img-responsive lozad\" alt=\"Ck 12: Analysis: Quadratic Formula and Complex Sums Unit Plan\" title=\"Ck 12: Analysis: Quadratic Formula and Complex Sums Unit Plan\" onError=\"handleImageNotLoadedError(this)\" data-default-image=\"https://static.lp.lexp.cloud/images/attachment_defaults/resource/large/FPO-knovation.png\" data-src=\"https://content.lessonplanet.com/knovation/original/487531-d0cd857c2bf637d35cb026aba206859c.jpg?1661825008\" width=\"315\" height=\"220\" src=\"data:image/png;base64,R0lGODlhAQABAAD/ACwAAAAAAQABAAACADs\" /\u003e\n\u003c/a\u003e\u003ci class='fa-solid fa-image fa-6x thumb-img-wrap-icon'\u003e\u003c/i\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-info-wrap'\u003e\n\u003cdiv class='resource-info'\u003e\n\u003cdiv class='resource-info-top overflow-hidden text-ellipsis'\u003e\n\u003cspan class='resource-pool-tag'\u003eCK-12 Foundation\u003c/span\u003e\n\u003c/div\u003e\n\u003ch4 class='resource-title' title='Ck 12: Analysis: Quadratic Formula and Complex Sums'\u003e\n\u003ca class=\"trk-show-resource\" title=\"Ck 12: Analysis: Quadratic Formula and Complex Sums Unit plan\" href=\"/teachers/ck-12-foundation-analysis-quadratic-formula-and-complex-sums-487531\"\u003eCk 12: Analysis: Quadratic Formula and Complex Sums\n\u003c/a\u003e\u003c/h4\u003e\n\u003cdiv class='resource-meta text-xs text-gray-600 overflow-hidden text-ellipsis'\u003e\n\u003ci class='lp-icon fa-solid fa-user'\u003e\u003c/i\u003e\n\u003cspan class='resource-audience'\u003eFor Students\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-graduation-cap'\u003e\u003c/i\u003e\n\u003cspan class='resource-grade'\u003e10th - 12th\u003c/span\u003e\n\u003ci class='lp-icon fa-regular fa-circle-check'\u003e\u003c/i\u003e\n\u003cspan class='resource-standards'\u003eStandards\u003c/span\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-description-wrap'\u003e\n\u003cdiv class='resource-description'\u003e\n[Free Registration/Login may be required to access all resource tools.] This lesson covers solving quadratic equations when the answers are complex numbers. Students examine guided notes, review guided practice and attempt practice...\n\u003c/div\u003e\n\u003c/div\u003e\n\u003cdiv class='resource-actions bg-white'\u003e\n\u003ca class=\"btn btn-default btn-xs text-xs free-access-btn upgrade-btn\" title=\"Get Free Access to Ck 12: Analysis: Quadratic Formula and Complex Sums Unit plan\" data-track-click=\"Search result free access button\" data-track-label=\"Search Page\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_button_other\" data-remote=\"true\" href=\"/subscription/new?signup_resource_id=1285125\"\u003e\u003ci class='fa-regular fa-eye'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eGet Free Access\u003c/span\u003e\n\u003c/a\u003e\u003ca class=\"btn btn-default btn-xs text-xs trk-show-resource\" title=\"Ck 12: Analysis: Quadratic Formula and Complex Sums Unit plan\" href=\"/teachers/ck-12-foundation-analysis-quadratic-formula-and-complex-sums-487531\"\u003e\u003ci class='fa-solid fa-list-ul'\u003e\u003c/i\u003e\n\u003cspan class='button-text'\u003eSee Review\u003c/span\u003e\n\u003c/a\u003e\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\u003c/div\u003e\n\n\u003c/div\u003e\n\n\n","pagination":"\u003cdiv class='text-center' id='search-pagination'\u003e\n\n\u003c/div\u003e\n"}