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When studying polynomials, you often hear the terms zeros, roots, factors and x -intercepts. In this article, we will explore these characteristics of polynomials and the special relationship that they have with each other.
Given the graph of a polynomial and looking at its x-intercepts, we can determine the factors the polynomial must have. Additionally, we can determine whether those factors are raised to an odd power or to an even power (this is called the multiplicity of the factors).
Watch Sal work through a harder Polynomial factors and graphs problem. If you're seeing this message, it means we're having trouble loading external resources on our website. If you're behind a web filter, please make sure that the domains *.kastatic.org and …
Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial.