 # Find Zeros of a Polynomial Function

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

The following figure show how to find the zeros or roots of a polynomial function Graphically or using the Rational Zeros Theorem. Scroll down the page for more examples and solutions. Find the Zeros of a Polynomial Function - Integer Zeros
This video provides an introductory example of how to find the zeros of a degree 3 polynomial function.
Example:
Find all the zeros or roots of the given function graphically and using the Rational Zeros Theorem.
f(x) = x3 - 3x2 - 13x + 15 Find the Zeros of a Polynomial Function - Real Rational Zeros

This video provides an example of how to find the zeros of a degree 3 polynomial function with the help of a graph of the function.
Example:
Find all the zeros or roots of the given function.
f(x) = 6x3 - 11x2 - 26x + 15

Find the Zeros of a Polynomial Function with Irrational Zeros
This video provides an example of how to find the zeros of a degree 3 polynomial function with the help of a graph of the function. The function as 1 real rational zero and 2 irrational zeros.
Example:
Find all the zeros or roots of the given function.
f(x) = x3 - 4x2 - 11x + 2 Zeros of Polynomial Functions
How to use the graphing calculator to find real zeros of polynomial functions?
Example:
Find all the zeros or roots of the given function.
f(x) = 3x4 - 4x3 - 11x2 + 16x - 4 Finding the Zeros of a Polynomial Function
A couple of examples on finding the zeros of a polynomial function.
Example:
Find all the zeros or roots of the given functions.
f(x) = 3x3 - 19x2 + 33x - 9
f(x) = x3 - 2x2 - 11x + 52
Graphing polynomials in factored form
Graphing polynomials in factored form taking into account multiplicities of zeros.
Example:
Graph y = -3.5x2(x - 4)3(x + 3)

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