## Key Concepts

• Find the greatest common factor.
1. Factor each coefficient into primes. Write all variables with exponents in expanded form.
2. List all factors—matching common factors in a column. In each column, circle the common factors.
3. Bring down the common factors that all expressions share.
4. Multiply the factors.
• Distributive Property
• If $a$ , $b$ , $c$ are real numbers, then$a\left(b+c\right)=ab+ac$ and $ab+ac=a\left(b+c\right)$
• Factor the greatest common factor from a polynomial.
1. Find the GCF of all the terms of the polynomial.
2. Rewrite each term as a product using the GCF.
3. Use the Distributive Property ‘in reverse’ to factor the expression.
4. Check by multiplying the factors.

## Glossary

greatest common factor
The greatest common factor (GCF) of two or more expressions is the largest expression that is a factor of all the expressions.