1. 8-5 Factoring by Grouping
Goal:
Factor a polynomial by grouping terms.
Eligible Content: A

2. Vocabulary
Grouping – this method will work when trying to factor a polynomial with 4 terms.
We will put the terms into 2 groups and factor out each GCF.

3. Factor: x3 + 4x2 + 6x + 24 ( ) ( ) x3 + 4x2 + 6x + 24 x2( ) + 6( ) x2
( ) ( )
x3 + 4x2 + 6x + 24 x2( ) + 6( ) x2 x2 6 6
GCF: 6
GCF: x2
x + 4
x + 4
GCF: (x + 4)
(x + 4)
(x + 4)
(x + 4)
(x2 + 6)

4. Examples x3 + 2x2 + 3x + 6 x4 + x3 + 2x + 2 2x3 – 4x2 – 9x + 18

5. Practice
Worksheet – “8-5 Factoring by Grouping”

6. Homework
Worksheet – “8-5 Factoring by Grouping Homework”