Unit 7 Review

Factoring with GCF

100

12a-27

3(4a-9)

200

16k-24

8(2k-3)

300

48w²-36w

12w(4w-3)

400

75x²y-120xy

15xy(5x-8)

500

4a³b-8a²b²+2ab³

2ab(2a²-4ab+b²)

Factoring Binomials (Difference of Squares)

100

x²-81

(x+9)(x-9)

200

a²-25b²​​​​

(a+5b)(a-5b)

300

45m³n-5mn

5mn(3m+1)(3m-1)

400

98x-8x³

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

500

This is another GCF one. NOT Difference of Squares

30m⁴n³-12m³n²+6m²n

6m²n(5m²n²-2mn+1)

Factoring Trinomials (Tree)

100

c²-c-6

(c-3)(c+2)

200

m²-6m-27

(m-9)(m+3)

300

x²+19x+78

(x+6)(x+13)

400

x³+16x²+64x

x(x+8)²

500

3x³-9x²-30x

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

Factoring Trinomials (Slide)

100

2x²-x-28

(x-4)(2x+7)

200

8m²+6m-5

(4m+5)(2m-1)

300

6w²-28w+32

2(w-2)(3w-8)

400

16k²-24k+8

8(k-1)(2k-1)

500

This is another "Tree" Question. Not Slide.

4a²+4a-80

4(a+5)(a-4)

Factoring Polynomials (Split)

100

3x³-21x²+2x-14

(3x²+2)(x-7)

200

a³-9a²b+ab-9b²

(a²+b)(a-9b)

300

m³-m²n+m-n

(m²+1)(m-n)

400

4x³-x²y+8xy-2y²

(x²+2y)(4x-y)

500

5x²y-x²+5y-1

(x²+1)(5y-1)