1. Factoring Using Distributive Property and Grouping

2. Using Distributive Property
Find the GCF
Write GCF on outside of parenthesis
Write remaining factors inside parenthesis

3. Exs of Distributive Prop
1) 12a + 16a ) 18cd + 12c d + 9cd

4. Factoring by Grouping Group terms with common factors
Factor GCF from each group
Rewrite as the product of polynomials

5. Exs of Grouping
1) 4ab + 8b + 3a ) x + 2x + 3x + 6

6. Using the Additive Inverse Property
Factor by grouping and look for common terms, if no common terms are left see if the terms are additive inverses
1) 35x – 5xy + 3y – 21

7. When Can You Factor By Grouping
Polynomial can be factored by grouping if all of the following exist:
4 or more terms
Terms with common factors can be grouped
Two common factors are identical or are additive inverses of each other
ax + bx + ay + by = x(a + b) + y(a + b)
= (a + b)(x + y)

8. Zero Product Property
If the product of 2 factors is 0, then at least one of the factors must be 0.
If ab = 0, then either a = 0, b = 0, or both a and b = 0

9. Solve an Equation in Factored Form
(d – 5)(3d + 4) = 0
Either d – 5 = 0 or 3d + 4 = 0
Set each factor equal to zero and solve to find your solution set

10. Solve an Equation by Factoring
If an equation can be written in the form ab = 0, then the zero product property can be applied to solve the equation
1) x = 7x