Factoring Review

GCF Factoring

100

3x^3 -10x^2-144x

What is 

x(3x^2 -10x-144)

200

x^3 +9x^2

What is 

x^2(x+9)

300

3x^2+6x-108

What is

3(x^2+2x-36)

400

8x^3+40x^2

What is 

8x^2(x+5)

500

4x^3y-22x^2y+36y

What is 

2y(2x^3-11x^2+18)

DOTS Factoring

100

x^2-1

What is 

(x+1)(x-1)

200

121-x^2

What is

(11+x)(11-x)

300

x^4-100

What is 

(x^2 + 10)(x^2-10)

400

25x^2-196

What is 

(5x+14)(5x-14)

500

x^2y^4-49

What is 

(xy^2+7)(xy^2-7)

AM Factoring

100

x^2-10x+25

What is 

(x-5)(x-5)

200

x^2-5x-24

What is 

(x-8)(x+3)

300

x^2-x-6

What is 

(x-3)(x+2)

400

x^2+3x-40

What is 

(x+8)(x-5)

500

x^2+50x+400

What is 

(x+40)(x+10)

Grouping

100

x^3-3x^2+9x-27

What is 

(x^2+9)(x-3)

200

x^3-5x^2-10x+50

What is 

(x^2-10)(x-5)

300

3x^3-4x^2+12x-16

What is 

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

400

3x^3-2x^2-30x+20

What is 

(x^2-10)(3x-2)

500

4x^3+5x^2-44x-55

What is

(x^2-11)(4x+5)

AC Factoring

100

4x^2+8x+3

What is 

(2x+1)(2x+3)

200

2x^2-21x-36

What is 

(2x+3)(x-12)

300

2x^2+5x-3

What is

(2x-1)(x+3)

400

6x^2+x-2

What is

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

500

12x^2-29x+15

What is 

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