Zeros of a Polynomial

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Taught by mrbrianmclogan
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Meets NCTM Standards:
Lesson Summary:

In this lesson, you will learn about the zeros of a polynomial and how to find them using the rational zero test. The fundamental theorem of algebra states that every polynomial has at least one root in the complex number system, which could be real or imaginary. The linear factorization theorem states that a polynomial has at most three zeros or the number of factors of its highest degree. The rational zero test provides a list of all possible rational zeros, which you can use to check if any of them are the roots using methods like synthetic division or evaluation.

Lesson Description:

Overview Zeros of a polynomial

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Questions answered by this video:
  • In the following function P(x)=x⁴ -x³-9x²+11x+6=0 what is the maximum number of zeros?
  • Find the zeros for the following function f(x)=2x³-5x²-9x+18=0