1. Grouping and Review
Brett Solberg AHS ‘11-’12

2. Warm-up Factor the following: 1) 4a2 – 64 Hint: D.O.S
2) 27z Hint: Sum of
3) 16a2 – 16ab + 4b2 Hint: P.S.T.
What HW problems do you want to review?

3. Today’s Agenda Factor by Grouping Review different factoring methods
Greatest Common Factor
Difference of Squares
Sum/Diff of Cubes
Perfect Square Trinomials
Grouping

4. Activity I need 4 volunteers #1 likes Taylor Swift and Twilight
#2 like Taylor Swift and Star Trek
#3 likes RSL and Twilight
#4 likes RSL and Star Trek

5. Activity TS/TL + TS/ST + RSL/TL + RSL/ST What do all 4 have in common?
What do the 2 people have in common?
TS(TL + ST) + RSL(TL + ST)
What is the greatest common factor here?
(TL + ST)(TS + RSL)

6. Grouping Split the expression in half to factor out GCF.
Use if you have 4 terms you cannot combine.
x3 – 3x2 + 2x – 6
What is the GCF?
(x3 – 3x2) + (2x – 6)
x2(x – 3) + 2(x – 3)
(x – 3)(x2 + 2)

7. 1) 2ax + 6xc + ba + 3bc (2ax + 6xc) + (ba + 3bc) 2x(a + 3c) + b(a + 3c) (a + 3c)(2x + b) 7) ay – ab + cb - cy a(y-b) + c(b – y) a(y-b) – c(y – b) (y – b)(a – c) 14) 81x2 + 18xy + y2 – 4 9x(9x + 2y) + (y + 2)(y – 2) 17) 3x2 – 5x2y + 3y2 – 5y3 x2(3 – 5y) + y2(3 – 5y) (3 – 5y)(x2 + y2)

8. Grouping
Spend 10 minutes working on the grouping worksheet.

9. Review Game Get in groups of 3 and pick a team name and captain.
Send the captain up to get a white board, marker, and eraser.

10. Review Game Rules 9 rounds 30 – 60 sec to factor a problem
1st team done – 5 points
2nd team done – 4 points
All correct answers – 3 points
Flip board over when finished
writing or erasing after flipped = disqualification
Alternate writers
Winning team gets candy

11. #1
16y2 + 8y
8y(2y + 1)

12. #2
4x2 – 9y2
(2x + 3y)(2x – 3y)

13. #3
27m3 – 8
(3m – 2)(9m2 + 12m + 4)

14. #4
9x2 – 48x + 64
(3x - 8)2

15. #5
3x3y + 9x2y2 +36xy2
3xy(x2 + 3xy + 12y)

16. #6
4y2 + 8ay – y – 2a
(4y – 1)(y + 2a)

17. #7
15x2 – 60 y2
15(x2 – 4y2)
15(x + 2y)(x – 2y)

18. #8
7x x + 63
7(x2 + 18x + 9)
7(x + 3)2

19. #9
100x2 + 90x + 81
Prime
a = 10x b = 9
2ab = 2*10x*9 = 180x