Factoring Review

Factor by GCF

100

Factor by GCF:

6x²-12x

6x(x-2)

200

Factor by GCF

12x+24y

3y²(4-3y⁴)

300

Factor by GCF

12y²-9y⁶

3y²(4-3y⁴)

400

Factor by GCF:

8xy-16x³y+10y

2y(4x-8x³+5)

500

Factor by GCF

14x²y-21xy+35xy²

7xy(2x-3+5y)

Factor

100

x²-5x-6

(x-6)(x+1)

200

x²+9x+20

(x+4)(x+5)

300

x²-8x-33

(x+3)(x-11)

400

2a²+13a-24

2a²+16a-3a-24

2a(a+8)-3(a+8)

(2a-3)(a+8)

500

12x²+22x-14

2(2x-1)(3x+7)

Grouping

100

2m³-m²+4m-2

m²(2m-1)2(2m-1)

(2m-1)(m²+2)

200

a²-4ac+ab-4bc

a(a-4c)b(a-4c)

(a+b)(a-4c)

300

4n³-12n²+3n-9

4n²(n-3)3(n-3)

(n-3)(4n²+3)

400

2x²-3xz-2xy+3yz

x(2x-3z)-y(2x-3z)

(2x-3z)(x-y)

500

24am-9an+40bm-15bn

3a(8m-3n)5b(8m-3n)

(8m-3n)(3a+5b)

Squares

100

64-25x²

(8-5x)(8+5x)

200

16a²-81b²

(4a+9b)(4a-9b)

300

121w²-225

(11w - 15) (11w + 15)

400

x⁴-16x²

x²(x + 4) (x - 4)

500

x⁴-1

(x²-1)(x²+1)

(x²+1)(x-1)(x+1)

Trinomials

100

Question 25

y²-8y+15

A y+3

B y-2

C y-15

  D y-5

200

Question 26

x²+19x-42

   F (x+21) and (x-2)

G (x-21) and (x+2)

H (x+42) and (x-1)

J (x-6) and (x+7)

300

2y²+14y+24

2(y+3)(y+4)

400

5x²-13x-6

5x²+15x-2x-6

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

(5x+2)(x-3)

500

Question 27 

5x²+8x-4

A (x-2) and (5x+2)

B (x+4) and (5x-1)

  C (x+2) and (5x-2)

D (x+1) and (5x-4)