It looks like you're using Internet Explorer 11 or older. This website works best with modern browsers such as the latest versions of Chrome, Firefox, Safari, and Edge. If you continue with this browser, you may see unexpected results.

# MATH 1111 - College Algebra: 4.1 Finding Zeros of Polynomial Functions

## 4.1 Finding Zeros of Polynomial Functions

At the end of this section students will be able to:

• Use synthetic division to divide polynomials
• Evaluate polynomials using the Remainder Theorem
• Use the Factor Theorem to factor polynomials
• Use the Rational Zeros Theorem in finding possible zeros of a polynomial with integers coefficients
• Determine all zeros of a polynomial function with real coefficients

3.2 The Factor Theorem and the Remainder Theorem

Stitz-Zeager College Algebra - pages 257-264

3.3 Real Zeros of Polynomials

Stitz-Zeager College Algebra - pages 269-270

## Practice Exercises

The Factor Theorem and the Remainder Theorem

Stitz-Zeager College Algebra - pages 265-266

Answers to practice exercises can be found on pages 267-268.

Real Zeros of Polynomials

Stitz-Zeager College Algebra - pages 280

Answers to practice exercises can be found on pages 283.

## Supplemental Resources

West Texas A&M University Virtual Math Lab (College Algebra Tutorial 37)

(tutorial): West Texas A&M University Virtual Math Lab (College Algebra Tutorial 38)

Synthetic Division:

Evaluating Polynomials Using the Remainder Theorem:

Finding All Zeros of A Polynomial Function:

Example 1

Example 2

Example 3