# 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