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More Lessons for PreCalculus

Math Worksheets

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) = x^{3} - 3x^{2} - 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) = 6x^{3} - 11x^{2} - 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) = x^{3} - 4x^{2} - 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) = 3x^{4} - 4x^{3} - 11x^{2} + 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) = 3x^{3} - 19x^{2} + 33x - 9

f(x) = x^{3} - 2x^{2} - 11x + 52

**Graphing polynomials in factored form**

Graphing polynomials in factored form taking into account multiplicities of zeros.

Example:

Graph y = -3.5x^{2}(x - 4)^{3}(x + 3)

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

More Lessons for PreCalculus

Math Worksheets

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.

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) = x

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) = 6x

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) = x

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) = 3x

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) = 3x

f(x) = x

Graphing polynomials in factored form taking into account multiplicities of zeros.

Example:

Graph y = -3.5x

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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