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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
Ch.11.5_FactorByGrouping.notebook        February 02, 2012




        2a2 + 2a2b ­ 3ab2 + ac2 + bc2 ­ 3b3




         18mr ­ 4ms­ 6mt + 36nr ­ 8ns ­12nt




                 15tu + 20t ­ 6vu ­ 8v

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Ch.11.5 Factor by Grouping

  • 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