# Chapter 6: Polynomial Functions

Difficulty Level:

**At Grade**Created by: CK-12

## Introduction

In this chapter we will continue to explore non-linear functions. This chapter covers any polynomial function, or a function whose greatest exponent is larger than 2. We will add, subtract, multiply, divide and solve these types of functions. Towards the end of the chapter, we will analyze the graph of a polynomial function and find the inverse and composition.

## Chapter Outline

- 6.1. Product and Quotient Properties of Exponents
- 6.2. Negative and Zero Exponents
- 6.3. Power Properties of Exponents
- 6.4. Adding and Subtracting Polynomials
- 6.5. Multiplying Polynomials
- 6.6. Sum and Difference of Cubes
- 6.7. Factoring by Grouping
- 6.8. Factoring Polynomials in Quadratic Form
- 6.9. Long Division of Polynomials
- 6.10. Synthetic Division of Polynomials
- 6.11. Finding Rational and Real Zeros
- 6.12. Finding Imaginary Solutions
- 6.13. Finding and Defining Parts of a Polynomial Function Graph
- 6.14. Graphing Polynomial Functions with a Graphing Calculator

### Chapter Summary

## Summary

This chapter covers exponents and their properties as well as how to add, subtract, multiply and divide polynomials. We will also solve polynomials using formulas, factoring, synthetic division, and technology.

### Image Attributions

## Description

This chapter covers operations with polynomial functions and analyzing the graphs of polynomial functions.

## Difficulty Level:

At Grade## Tags:

## Subjects:

## Date Created:

Mar 12, 2013## Last Modified:

Apr 16, 2015
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