Unit 6 Part 2 Review!

Factor GCF

100

Find the GCF:

8x + 36

4

200

Find the GCF

3x² +12x - 36

3

300

Find the GCF

16f² - 44f + 60

4

400

Find the GCF:

-4x³ – 34x² + 16xy

-2x

500

Find the GCF:

18m⁴n³ - 27m²n² + 45m²n

9m²n

Perfect Squares

100

Factor the special case

x² - 4 

(x-2) (x+2)

200

Factor the special case

x² - 25

(x-5)(x+5)

300

Factor the special case

9x² - 64

(3x-8)(3x+8)

400

Factor the special case

2x² - 98

2(x-7)(x+7)

500

Factor the special case

12x³ - 108x

12x(x-3)(x+3)

AC Method

100

Factor

x²+10x+16

(x+2)(x+8)

200

Factor

x²+4x-21

(x+7)(x-3)

300

Factor

x² - x - 42

(x-7)(x+6)

400

Factor

w²-17w+72

(w-9)(w-8)

500

Factor

y²+2y-48

(y+8)(y-6)

AC Method No Shortcuts

100

Factor using the full AC Method

3x²+11x+6    

(3x+2)(x+3)

200

Factor using the full AC Method

8x²-10x-12

(8x+6)(x-2)

300

Factor using the full AC Method

8w²+30w+7

(4w+1)(2w+7)

400

Factor using the full AC Method

-n²-4n+12

-1(n-2)(n+6)

500

Factor using the full AC Method (GROUPING)

3z³-12z²+2z-8

(3z²+2)(z-4)

What can it be?

100

Factor and Solve!

x²+5x-14=0

(x+7)(x-2)

x=-7 x=2

200

Factor and Solve!

t²+15t+36=0

(t+12)(t+3)

t=-12  t=-3

300

Factor and Solve!

2m²-6m=0

2m(m-6)

m=0  m=6

400

Factor and Solve!

-12t²-11t+15=0

(-4x+3)(3t+5)

t= 3/4  t=-5/3

500

Factor and Solve!

4x² = 49

(2x-7)(2x+7)

x=7/2  x=-7/2