Khan Academy: Algebra Ii: Zeros of Polynomials: Matching Equation to Graph

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.

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...

Select the graph that best suits a polynomial equation by considering the zeros of the polynomial. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.

Video shows an example of finding asymptotes of a rational function. Uses the asymptotes and the behavior near the asymptotes to graph the function. Includes an example of a rational function that does not have asymptotes. [8:20]

Demonstrates solutions to three problems. Problems address understanding of graphs of quadratic equations and translations of graphs of quadratic equations. [11:31]

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]

Video shows an example of finding the horizontal and vertical asymptotes of a rational function. Also shows finding the behavior of the function as it approaches the asymptotes and uses this information to sketch a graph of the function....

Sal explains what it means to simplify a rational expression and why we would want to do that. Just don't forget the excluded values! [15:22]

A video lesson that goes through four example problems dealing with conic sections. Topics covered include: finding the vertex of a parabola from its equation; finding the asymptotes of a hyperbola and then sketching its graph;...

Video works through six problems from the California Standards Test. Three problems involve simplifying rational expressions, one of which uses exponent rules. Two problems involve graphing complex numbers or reading them from graphs....