Zeros and Multiplicity of a Fifth Degree Polynomial

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Taught by mrbrianmclogan
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Meets NCTM Standards:
Lesson Summary:

In this lesson, we learn how to find the zeros and multiplicity of a fifth degree polynomial function. The zeros, also known as roots or x-intercepts, are the values of t that make the output value of the function zero. Multiplicity refers to how many times a zero appears as a factor in the polynomial. If a zero appears to an even power, it has a multiplicity of two and will only touch the x-axis. If a zero appears to an odd power, it has a multiplicity of one and will intersect the x-axis.

Lesson Description:

Finding the zeros and multiplicity of a polynomial function to the fifth degree

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Questions answered by this video:
  • In (t²-3)²=0 what is the multiplicity of √3and-√3?
  • What are you looking for when you have to find the zeros of a function g(t)?