# Polynomials

### John Mascagni 1st Hour

## Polynomial: An expression of more than two algebraic terms,

## Vocabulary

Polynomial: A monomial or sum of monomials

Degree: The power of the exponentStandard Form of a Polynomial: Has the terms in descending order by degree

Degree of a Polynomial: The largest degree of any term of the polynomial

Monomial: A number, variable, or the product of a number or variable

## Properties of Exponents

Products of a Power: A^m*an=a^m+n

Power of a Power: (a^m)^n=a^mn

Power of a Product: (ab)^m=a^mb^m

Negative Exponent: a-1=1/a, a doesn’t equal zero

Zero Exponent: A^0=1, a doesn’t equal zero

Dividing like Bases: A^m/a^n=a^m-n, a doesn’t equal zero

Power of a Quotient: (a/b)^m= a^m/b^m, b doesn’t equal zero

## Exponent Challenge Problem

## Adding/Subtracting Polynomials

## Multiplying Polynomials

## Dividing Polynomials Using Long Division

## Synthetic Division

Adding Polynomials