Greatest Common Factors
Trinomials
Factor by Grouping

Factor with D.O.T.S
Factor Completely
100

Factor

8v^2 + 10v + 7 

Correct: 

PRIME 

100
Factor: 

x^2 + 7x + 12 

Correct: 

(x+4) (x+3)

100

Factor: 

- 3x - 7x - 6 

Correct Response 

- -2(2x + 3)

100
Factor

n^2-4

Correct 

(n-2)(n+2) 

100

Factor 

z^2+10z+25


Correct 

(z+5)(z+5) or (z+5)^2 

200

Factor: 

3x(4x-1) + 5 (4x-1)

Correct 

(4x-1)(3x+5)

200

Factor 

2x^2 - 16x -40 

Correct 

2(x-10)(x+2)

200

Factor

12a^3 +8a^2 - 9a -6

Correct 

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

200

Factor

1-16n^2 

(1-4n)(1+4n) 

200

Factor 

6x^2-19x+15

Correct 

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

300

Factor: 

- 6a^3 + 12a^2 + 3a

Correct 

3a(2a^2 + 4a+ 1)

300

Factor: 

- 5n2+26n+5

Correct Response:

- (5n+1)(n+5)

300

Factor: 

35b^3-5b^2-28b+4

Correct: 

(7b-1)(5b^2+4)

300

Factor 

25m^2-n^2 

Correct: 

(5m-n) (5m+n) 

300

Factor

b^2 + 49

Correct

PRIME 

400

Factor

- 12abc^2 - 24a^2c

Correct: 

- 12ac(bc-2a) 

400

Factor:

n^2-6n-24 

Correct: 

PRIME 

400

Factor: 

- 21xy+15x+35ry+25r

Correct Response: 

(3x+5r)(7y+5)

400

x^4 - 16

Correct 

(x^2+4) (x^2-4) 

400
Factor

8a^4b^2c^3 + 12a^2b^2c^2

4a^2b^2c^2(2a^2c+3)

500

Factor: 

45x^3y^2 + 10xy + 25x^2 + 30x

Correct: 

5x(9x^2y^2+2y+5x+6)

500

Factor 

6b^2+36b+30

Correct

6(x+5)(x+1)

500
Factor

35n^3-20n^2-28n+16

Correct 

(7n-4)(5n^2-4)

500

Factor 

x^2/4 - 25y^2

Correct 

(x/2 +5y) (x/2 - 5)

500

Factor 

18a^2b^4 + 27b^5c^4- 36a^4b^3c^2

Correct 

9b^3(2a^2b+3b^2c^4-4a^4c^2