Unit 6 Lessons 4-8 Review

GCF

100

4 and 12

4

200

20 and 25

5

300

64 and 38

4

400

8x²y³z and 24x⁴y²z

8x²y²z

500

8ab²c, 12a²bc, 16abc²

4abc

GCF w/ Polynomials

100

6x²+36

6(x²+6)

200

10x-35

5(x-7)

300

y⁶+y⁴+y²

y²(y⁴+y²+1)

400

5x³+15x²-20x

5x(x²+3x-4)

500

9a²b⁵-27a³b⁷+9a²b³c

9a²b³(b²-3ab⁴+c)

Difference of Perfect Squares

100

(x+3)(x-3)=

x²-9

200

(xy+9)(xy-9)=

x²y²-81

300

(11-2x)(11+2x)=

121-4x²

400

16x²-49

(4x+7)(4x-7)

500

144x⁴y⁴+121x²y²

Does Not Factor (DNF)

Products (BOX or FOIL)

100

(x+7)(x-6)

x²+x-42

200

(2x+7)(x+3)

2x²+13x+21

300

(6x-5)(4x-3)

24x²-38x+15

400

(x²+y)(3x+2)

3x³+2x²+3xy+2y

500

(x+2)(x²+2x-3)

x³+4x²+x-6

Factoring Trinomial

100

x²+5x-6

(x+6)(x-1)

200

x²+8x+12

(x+6)(x+2)

300

x²+12x+35

(x+7)(x+5)

400

x²-13x+36

(x-4)(x-9)

500

x²+5x-24

(x+8)(x-3)