# Polynomials

### William Hartmann 1st hour

## What are Polynomials?

Polynomials are the expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable or variables.

## Vocabulary

Power- The product when a number is multiplied by itself a given number of times.

Base- In a power, the number that is used as a factor.

Exponent- In a power, the superscript number that tells how many times the base is used as a factor.

Monomial- An expression that is either a numeral, a variable, or the product of a numeral and one or more variables.

Similar or Like Terms- Two monomials that are exactly alike except for their numerical coefficients.

## Power of a Product Property Multiplying powers with the same base you just have to add the exponents. | ## Power of a Quotient Power Dividing two powers with the same nonzero base, subtract the exponent of the denominator from the exponent of the numerator. | ## Power of a Power Property Multiply powers with the same base you just have to add the exponents. |

## Power of a Product Property

Multiplying powers with the same base you just have to add the exponents.

## Power of a Quotient Power

Dividing two powers with the same nonzero base, subtract the exponent of the denominator from the exponent of the numerator.

## All Exponent Properties in One Problem

## Adding Polynomials

## Multiplying Monomial by Polynomial, Binomial by Binomial, and Binomial by a Trinomial

## Dividing Polynomials using Long Division

## Synthetic Division

## Video

Polynomials in Real Life