# POLYNOMIALS

### CAMERON, MEREDITH & SHORE (3RD HOUR)

## What are Polynomials?

**Polynomial**comes from

*poly-*meaning "many" and

*-nomial*in this case meaning "term", so it says "many terms". A polynomial can consist of constants, variables and exponents, that can be combined using Addition, subtraction, multiplication, and division. However it can never use division by a variable.

## VOCABULARY

__Polynomial-__is a monomial or the sum of monomials.__Monomial-__a number, a variable, or the product of a number and variable(s).__Degree-__the power of the exponent.__Standard form of a polynomial-__has the terms in descending order by degree.__Degree of a Polynomial-__is the largest degree of any term of the polynomial.

## EXPONENTS

Let *a *and *b* be real numbers and let* m* and *n* be integers.

## ADDING AND SUBTRACTING POLYNOMIALS

With adding polynomials horizontally, you may look at the two polynomials and combine all like terms!

With subtracting polynomials, you distribute the negative in the second polynomial and add like terms.

## Multiplying Polynomials

- When multiplying a monomial by a polynomial, you distribute and add like terms.
- When multiplying a binomial by a binomial, multiply by using the FOIL Method.
- When multiplying a binomial by a trinomial, multiply by distributing your binomial into your trinomial and adding like terms.

## Dividing Polynomials using Long Division

## Synthetic Division

## Synthetic Factoring

Synthetic division | Polynomial and rational functions | Algebra II | Khan Academy

## Works Cited

"Holt McDougal Online."

*Holt McDougal Online*. N.p., n.d. Web. 27 Jan. 2016.- Pierce, Rod. "About Math is Fun" Math Is Fun. Ed. Rod Pierce. 17 Jun 2014. 27 Jan 2016 <http://www.mathsisfun.com/aboutmathsisfun.html>
- "Properties of Exponents."
*Properties of Exponents*. GlamFamily, n.d. Web. 27 Jan. 2016.