Day 1 GCF and Grouping.notebook

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
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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