Khan Academy: Algebra Ii: Analyzing Polynomial Identities

Rewrite rational expressions of the form a(x)/b(x), where a(x) is a polynomial and b(x) is a linear binomial, in the form q(x)+r(x)/b(x), where q(x) and r(x) are polynomials and the degree of r(x) is less than the degree of b(x)....

Polynomial identities are equations that are true for all possible values of the variable. This introduction video gives more examples of identities and discusses how we prove an equation is an identity. [4:56]

Demonstrates how to solve a quadratic equation by factoring where the first step is to set the equation equal to zero. The quadratic polynomial in the example is a perfect square trinomial. [3:19]

Determine whether the stated polynomial identities are in fact true and whether the proofs given of such identities are valid. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or...

Given the formula of a rational function, determine how it behaves around its vertical asymptote. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.

Sal divides a rational expression using long division. [3:24]

The zeros of a polynomial p(x) are all the x-values that make the polynomial equal to zero. They are interesting to us for many reasons, one of which is that they tell us about the x-intercepts of the polynomial's graph. We will also see...

When we are given the graph of a polynomial, we can deduce what its zeros are, which helps us determine a few factors the polynomial's equation must include. [3:00]

Use various methods in order to find all the zeros of polynomial expressions or functions. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.

Video demonstrates how to divided a multivariable trinomial by a multivariable monomial. [3:14]