# Chapter 9: Polynomials

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

## Introduction

An object with an initial velocity of 100 feet per second has a height of -*t* seconds. This height is an example of a polynomial expression. How could you describe this polynomial? How could you factor it and solve it? In this chapter, you’ll learn the vocabulary of polynomials, how to add, subtract, and multiply polynomials like this one, how to factor them, and how to solve them.

## Chapter Outline

- 9.1. Polynomials in Standard Form
- 9.2. Addition and Subtraction of Polynomials
- 9.3. Multiplication of Monomials by Polynomials
- 9.4. Multiplication of Polynomials by Binomials
- 9.5. Special Products of Polynomials
- 9.6. Monomial Factors of Polynomials
- 9.7. Zero Product Principle
- 9.8. Factorization of Quadratic Expressions
- 9.9. Factorization of Quadratic Expressions with Negative Coefficients
- 9.10. Factorization using Difference of Squares
- 9.11. Factorization using Perfect Square Trinomials
- 9.12. Factoring Completely
- 9.13. Factoring by Grouping
- 9.14. Solving Problems by Factoring

### Chapter Summary

## Summary

This chapter begins with an introduction to the special vocabulary associated with polynomials. It then focuses on adding, subtracting, and multiplying polynomials. Special products like the square of a binomial and the product of binomials using the sum and difference formula are covered as well. The remainder of the chapter is devoted to various methods for factoring polynomials so that they can be solved. Real-world geometry problems involving polynomials are also given consideration.