# Review 8.1 - 8.4

- Author:
- jmdrake

## Warm up for 8.1 and 8.2 (Review of previous concepts)

__Distributive property:__You multiply what is outside the parenthesis to everything that is inside the parenthesis. Example: Special case: Distributing a negative means negating everything inside the parenthesis.

## Simplify:

## Simplify:

## New concept 8.1: Find the degree of a monomial.

__Degree of a monomial:__The degree of a monomial the sum of the exponents of its variables. Example: The degree of is 5+8+2 = 12.

## Find the degree:

## Degree of a monomial

## New concept 8.1: Find the degree of a polynomial.

The degree of a polynomial is the degree of the highest degree term.
The degree of the polynomial is 3, because the highest power of the variable “x” is 3.

## Simplify and find the degree and number of terms:

## Adding and subtracting polynomials

To add two polynomials, add all of the like terms.
Example:
To subtract two polynomials, first negate the terms in the second polynomial and then add like terms.
Example:

## Simplify

## New concept 8.2: Greatest Common Factor (GCF) of a polynomial.

To find the GCF of the terms of a polynomial, do prime factorization of each term and find the common factors.
Example:
The first term factors as
The second term factors as
In both terms you see
So the GCF =