Chapter 7 Review

GCF

100

(4x+12)

4(x+3)

200

36x+72y

36(x+2y)

300

24x³+36x²+12x²y

12x²(2x+3+y)

400

25x³y²+10x²y+45xy⁴

5xy(5x²y+2x+9y³)

500

24x⁴yz²+36x³y⁴z⁸+42x⁶y⁴z⁵

6x³yz²(4x+6y³z⁶+7x³y³z³)

Difference of Squares

100

x²+4

Can't do 

Can only do Difference of Squares when they are subtraction.

200

x²-36

(x+6)(x-6)

300

64x²-16

(8x+4)(8x-4)

400

144x²y²-121

(12xy+11)(12xy-11)

500

49x²y²-25z²

(7xy+5z)(7xy-5z)

x²+bx+c

100

n²+9n+20

(n+4)(n+5)

200

x²+8x+7

(x+7)(x+1)

300

v²-5v+4v

(v-4)(v-1)

400

2x²-8x-90

2(x-9)(x+5)

500

x³+2x²-48x

x(x+8)(x-6)

ax²+bx+c

100

3x²+10x+3

(3x+1)(x+3)

200

2x²+9x+10

(2x+5)(x+2)

300

3x²+11x+6

(3x+2)(x+3)

400

20x²-52x-24

4(x-3)(5x+2)

500

12x²-24x-15

3(2x-5)(2x+1)

Factor by Grouping

100

8x²+12x+2xy+3y

(2x+3)(4x+y)

200

x²y+3x²+-7y²-21y

(x²-7y)(y+3)

300

x³+2x²+-5x-10

(x²-5)(x+2)

400

6mn-9m+-4n+6

(3m-2)(2n-3)

500

4r²s-8rs+-3r+6

(4rs-3)(r-2)