Greatest Common Factor Only (GCF)
Difference of Squares
Basic Trinomials (a=1)
Slip and Slide Trinomials (a>1)
Factoring by Grouping
100

The factors of 

12a-27

What is

3(4a-9)

100

The factors of

x2 - 81

What is

(x-9) (x+9)

100

The factors of 

c2 - c - 6

What is

(c - 3) (c + 2)

100

The factors of

2x2 - x - 28

What is

(x - 4) (2x + 7)

100

The factors of

3x3 - 21x2 + 2x - 14

What is

(3x2 + 2) (x - 7)

200

The factors of 

16k-24

What is

8(2k-3)?

200

The factors of

a2 - 25b2

What is 

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

200

The factors of

x2 + 19x +78

What is

(x + 6) (x + 13)

200

The factors of

2x2+17x+8

(2x + 1) ( x + 8)

200

The factors of 

a3 - 9a2b + ab - 9b2

What is

(a2 + b)(a - 9b)

300
The factors of 


48w2-36w

What is

12w(4w-3)

300

The factors of

81x2-49

What is 

(9x-7)(9x+7)

300

The factors of 

m2 - 6m - 27

What is

(m - 9) (m + 3)

300

The factors of

8m2 + 6m - 5

What is

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


300

The factors of 

m3 - m2n + m - n

What is

(m2 +1) ( m - n)

400

The factors of 

75x2y - 120xy

What is

15xy (5x - 8)

400
The factors of 

45m3n - 5mn

What is

5mn (3m - 1) (3m + 1) 

400

The factors of 

4a2 +4a - 80

What is


4 (a + 5) (a - 4)

400
The factors of 


6w2 - 28w + 32

What is


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

400

The factors of

4x3 - x2y + 8xy - 2y2

What is

(4x - y) (x2 + 2y)

500

The factors of

4a3b - 8a2b2 + 2ab3

What is

2ab (2a2 - 4ab +b2 )

500

The factors of 

98x - 8x3

What is


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

500

The factors of

3x3 - 9x2 - 30x

What is

3x(x2 -3x - 10)

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

500

The factors of 

16k2 - 24k + 8

What is

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

500

The factors of

2a3 - a2b + 10a - 5b

What is

(a2 + 5)(2a - b)