1. Factor By Grouping
GCF Factoring twice!

2. Factor By Grouping Steps:
Use GCF Factoring to factor the 1st two terms and last two terms separately
Make sure the two parentheses match
Write the answer as outside #s in one parentheses and inside #s in the other parentheses

3. Factor By Grouping Examples
10x3 – 5x2 + 14x - 7
GCF Factoring
5x2( )
+ 7 ( )
Parentheses match?
5x2(2x – 1)
+ 7(2x - 1)
(5x2 + 7)(2x – 1)

4. Factor By Grouping Examples
4rt – 6st – 10ru + 15su
GCF Factoring
2t( )
– 5u( )
Parentheses match?
2t(2r – 3s)
– 5u(2r – 3s)
(2t – 5u)(2r – 3s)

5. Factor By Grouping Examples
12x3 – 9x2 + 28x – 21
GCF Factoring
3x2( )
+ 7( )
Parentheses match?
3x2(4x – 3)
+ 7(4x – 3)
(3x2 + 7)(4x – 3)

6. Factor By Grouping Examples
9x3 – x2 – 63x + 7
GCF Factoring
x2( )
– 7( )
Parentheses match?
x2(9x – 1)
– 7(9x – 1)
(x2 – 7)(9x – 1)