Day 1 GCF and Grouping.notebook October 29, 2014 Bellringer Distribute 1. 7(3a 5) 2. 3b(2b2 b + 9) 3. k 2(k2 1) Nov 232:11 PM Factoring Polynomials Day 1 U3S1: I can factor using GCF and grouping U3S6: I can solve equations using factoring Factor Write an expression as the product of two or more expressions (opposite of distribute). Goal: Turn an addition/subtraction expression into multiplication Nov 232:09 PM 1 Day 1 GCF and Grouping.notebook October 29, 2014 Factor using GCF Always the first method to try 1. 15x + 25x 2 2. 12xy + 24xy2 30x2y4 3. 9x2 + 36x 4. 16xz 40xz 2 Nov 232:12 PM 5. 24m2np2 + 36m2n2 + 12m 2n Nov 232:14 PM 2 Day 1 GCF and Grouping.notebook October 29, 2014 Factoring by Grouping *This method is used when there are 4 terms and no common factor 6. 6ax + 3ay + 2bx + by How can you check the answer? Dec 34:33 PM 7. 4ab + 8b + 3a + 6 8. 2xy + 7x 2y 7 (If the first term of a group starts with a negative, factor out the negative with the GCF) Dec 34:37 PM 3 Day 1 GCF and Grouping.notebook October 29, 2014 *One reason we factor is so that we can solve equations with exponents* If xyz = 0 what must be true about the variables? Using factoring to solve equations 1. Set one side = 0 2. Factor 3. Set each factor = 0 Dec 34:40 PM Solve each equation 9. 3x2 9x = 0 10. 2x2 = 10x Dec 34:41 PM 4 Day 1 GCF and Grouping.notebook October 29, 2014 11. 8a2 6a 12a + 9 = 0 Dec 34:43 PM Assignment Handout Factoring Using GCF and Grouping Nov 232:17 PM 5 Day 1 GCF and Grouping.notebook October 29, 2014 Nov 2911:35 AM 6
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