1. Ch.11.5_FactorByGrouping.notebook February 02, 2012
Chapter 11.5
Find Binomial Factors in a Polynomial
(Factor by grouping)
1) group into pairs of 2 terms
2) pull out common factors (factor it)
3) pull out common binomials
4) Simplify...if you can
Example:
Factor the following polynomial
6ab ­ 9a + 4b ­ 6
1) group into pairs of 2 terms
6ab ­ 9a + 4b ­ 6
2) pull out common factors
3a(2b ­ 3) + 2(2b ­ 3)
3) pull out common binomials
(3a + 2) (2b ­ 3)
Factor the following polynomial
(be careful with negative signs)
12df ­ 3dg ­ 24ef + 6eg

2. Ch.11.5_FactorByGrouping.notebook February 02, 2012
2a2 + 2a2b ­ 3ab2 + ac2 + bc2 ­ 3b3
18mr ­ 4ms­ 6mt + 36nr ­ 8ns ­12nt
15tu + 20t ­ 6vu ­ 8v