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Factor By Grouping

Factor By Grouping. GCF Factoring twice!. Factor By Grouping. Steps: 1) Try to factor a GCF from the whole expression. 2) Use GCF Factoring to factor the 1 st two terms and last two terms separately 3) Make sure the two parentheses match

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Factor By Grouping

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  1. Factor By Grouping GCF Factoring twice!

  2. Factor By Grouping Steps: 1) Try to factor a GCF from the whole expression. 2) Use GCF Factoring to factor the 1st two terms and last two terms separately 3) Make sure the two parentheses match 4) Write the answer as outside #s in one parentheses and inside #s in the other parentheses

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

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

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

  6. Factor By Grouping Examples Don’t forget that (l+n)=(n+l)!!! kl+mn+ml+kn GCF Factoring No GCF? • Rearrange the terms so the k’s and the m’s • are together. kl+kn+mn+ml k(l+n)+m(n+l) (n+l)(k+m)

  7. Factor By Grouping Examples 3abd-3abe-3acd+3ace 3a[bd-be-cd+ce] 3a[b(d-e)-c(d-e)] 3a(d-e)(b-c)

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