# Polynomials

### Perrien and Rabalais

## Introduction

First, we need to know what polynomials are. Polynomials are the sum or difference of monomials. A monomial is a product of numbers and variables with whole-number exponents. The topics discussed in this project will be the properties of exponents, adding and subtracting polynomials, multiplying and dividing polynomials, and synthetic division.

## Vocabulary

- Polynomial- is a monomial or the sum of monomials
- Degree- the power of an exponent
- Standard form of a polynomial- has the polynomial in descending order by degree
- Monomial- a number, variable, or the product of numbers and variables
- Factored Completely- a factorable polynomial with integer coefficients is factored completely if it is written as a product of unfactorable polynomials with integer coefficients

## Property of Exponents

## Exponent Challenge Problem

## Adding and Subtracting Polynomials

## Multiplying Polynomials

## Multiplying a Monomial by a Polynomial

## Multiplying a Binomial by a Binomial

## Multiplying a Trinomial by a Binomial

## Dividing Polynomials Using Long Division

## Problem With a One Term Remainder

## Problem With a Multiple Term Remainder

## Synthetic Division

## Problems with Factorable Quotients by Trial and Error and Difference of Two Squares

## Problems finding the Zeros from the Quotient

## Works Cited

Larson, Ron. *Larson Algebra 2. *Orlando: Houghton Mifflin Harcourt Publishing Company, 2012. Print.