# Polynomials

### By Grayson Decell, Christian Leger, & Harrison Tuminello

## Vocabulary

**Coefficient** - a number used to multiply a variable

**GCF**- Greatest Common Factor

**Trial and Error** - a method for solving polynomials by using experimentation, investigation, and elimination

**Polynomial** - a monomial or a sum of monomials, each of which is called a term of the polynomial

**Like Terms** - Terms that have the same variable parts. Constant terms are also like terms

**Factor by Grouping **- factoring by grouping pairs of terms that have a common monomial factor

**Polynomial Long Division** - A method used to divide polynomials similarities to the way you divide numbers

**Synthetic Division** - A method used to divide a polynomial by a divisor of the form x-k

**FOIL** - First, Outer, Inner, Last. A form of distribution used in multiplying polynomials

## Adding/Subtracting Polynomials

## Multiplying Polynomials

## Monomial by Polynomial In this process, you distribute and multiply the monomial by everything in the polynomial. Then you combine like terms to get your answer. | ## Binomial by Binomial In this process, you use the FOIL method. Once everything is distributed, you combine like terms to get your answer. **Make sure the squared factor goes first!** | ## Binomial by Trinomial In this process, each factor in the binomial is multiplied by everything in the trinomial. Once you combine like terms, you should have your answer. |

## Monomial by Polynomial

## Binomial by Binomial

**Make sure the squared factor goes first!**

## Dividing Polynomials using Long Division

## Synthetic Division

## Works Cited

*Holt McDougal Larson Algebra 2*. Orlando, FL: Houghton Mifflin Harcourt, 2012. Print.

"Math." *Video*. N.p., n.d. Web. 21 Jan. 2016.