In this video, we solve rational equations by finding a common denominator.

Find all six trig ratios given a point on the terminal side of theta. In this video we work this common type of problem. We use the Pythagorean Theorem to find "r" (hypotenuse), and then use the given "x" (adjacent) and "y" (opposite) to...

What are some applications of rational functions? In this video we see a real-life example of rational functions and horizontal asymptotes.

This is the first of my videos on factoring polynomials using the box method. Factoring polynomials is never easy, but I've seen several different strategies and I love the box method!

How do you factor polynomials with the box method when the leading coefficient isn't 1? This video explains how to factor this type of problem with a box.

This is the third of my videos on factoring polynomials using the box method. Factoring polynomials is never easy, but I've seen dozens of different strategies and the box method is the BEST

This video explains how to multiply polynomials with the box method. The box method is simply a graphic organizer for multiplying polynomials with distribution

Find all six trig ratios given a point on the terminal side of theta. In this video we work this common type of problem. We use the Pythagorean Theorem to find "r" (hypotenuse), and then use the given "x" (adjacent) and "y" (opposite) to...

In this math video we will learn how to multiply variables with exponents. We will begin by identifying each term in the given algebraic expression. We will consider the expression inside the parentheses to determine these terms are not...

In this video, we will understand that machine learning is nothing but a geometry problem and see how it works for classification and regression.
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This clip is from the chapter "Machine Learning Basics" of the series "Data...

In this video we are going to review how to find and write the end behavior of polynomials. We will do this by covering a couple of basic examples and then work our way up to some more advanced examples



⭐ Completing the...

“Combining Factoring Techniques” illustrates how to use different techniques of factoring to fully factor polynomial equations.

Quantum physicist Artur Ekert (Oxford and NUS) describes how aspects of computational complexity are harnessed by cryptosystems like RSA (Rivest–Shamir–Adleman) which is a public-key cryptosystem that is widely used for secure data...

This video will discuss examples to find approximate solutions by graphing, using technology. Equations of the form f(x) = g(x) will be solved, where f(x) and g(x) may be linear, polynomial, rational, absolute value, exponential, or...

Why imaginary numbers are needed to understand the radius of convergence

The Sierpinski-Mazurkiewicz Paradox (is really weird)

How you can solve dice puzzles with polynomials

Because of the tremendous variety of shapes of their graphs, polynomial functions are important tools for modeling phenomena in a wide range of fields such as science, engineering, medicine and finance. But since polynomial functions are...

In the previous lecture we saw that although a rational function may have any number of vertical asymptotes or no vertical asymptotes, rational functions will always have exactly one non-vertical asymptote. Unlike vertical asymptotes, a...

Although a rational function may have any number of vertical asymptotes or no vertical asymptotes, rational functions will always have exactly one non-vertical asymptote. Since a function's value is undefined at a vertical asymptote, its...

In the previous lecture, we saw examples of x values that cause a rational function's numerator to be zero, where those x values produce x-axis intercepts in the function's graph. We also saw x values that cause denominator zeros that...

A rational function is any function that can be written as a fraction whose numerator and denominator are polynomials. Rational functions include a broad range of possibilities. For example, since a polynomial can be a constant, a...

This lecture explains a procedure used to divide polynomials that is analogous to the procedure used to divide integers called "long division". Dividing one polynomial (the dividend) by another (the divisor) produces a quotient that may...

In the previous lecture we saw how polynomial functions could be added or subtracted, producing new polynomial functions with different characteristics. In this lecture we will see how to multiply polynomial functions and show how the...