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Finding Zeros of a Polynomial Function




 
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Videos, worksheets, solutions, and activities to help PreCalculus students learn how to find the zeros or roots of a polynomial function.

Finding Zeros of a Polynomial Function :
Finding the polynomial function zeros is not quite so straightforward when the polynomial is expanded and of a degree greater than two. One method is to use synthetic division, with which we can test possible polynomial function zeros found with the rational roots theorem. Once we find a zero we can partially factor the polynomial and then find the polynomial function zeros of a reduced polynomial.
How we find the zeros of a polynomial function in expanded form.
Finding all the Zeros of a Polynomial - Example 1.
This video shows how to find the remaining zeros of a polynomial given a few known zeros.
Finding all the Zeros of a Polynomial - Example 2.
This video uses the rational roots test to find all possible rational roots; after finding one we can use long division to factor, and then repeat.



Finding all the Zeros of a Polynomial - Example 3.
This video uses the rational roots test to find all possible rational roots; after finding one we can use long division to factor, and then repeat.


 

You can use the Mathway widget below to practice Algebra or other math topics. Try the given examples, or type in your own problem. Then click "Answer" to check your answer.


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