Adding or Subtracting Polynomials
Factor
Multiplying Binomials
GCF
100

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

-x + 4

100

x2 + 12x + 20

(x+10)(x+2) 

100

(x+2)(x+3)

x2+5x+6

100

What is the GCF of 

12a + 4b ?

4

200
(6x-7) + (4x+5)
10x-2
200

x2 - 9x + 14

(x - 7)(x - 2)

200

(x-7)(x+2)

x2-5x-14

200

What is the gcf of 

9x+ 15x+ 21x3

3x2

300

(x3-7) - (8x3-2x)

-7x3 + 2x - 7

300

3x2 + 10x - 8

(3x - 2) (x + 4)

300

(2x+4)(x-8)

2x2-12x-32

300

Factor the GCF out:  7m4 -14m2 + 49m5

7m2 (2m2 - 2 + 7m3)

400
(5x-3) + (4x+7) + (2x-6)
11x-2
400

6x2 - 3x - 30

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

400

(x-4)2

x2-8x+16

400

Factor the GCF out:  

10xy3 - 15x2y4 + 30y

5y(2xy2 - 3x2y3 + 6)

500

(6x2-8x -16) - (6x2+8x+ 16)

-16x - 32

500

12x2 + 17x + 6

(4x+3)(3x+2)

500

(7x - 13)(7x + 13)

49x2-169

500

Factor the GCF out: 

12b3c4d7 - 24bc3d4 + 48b5c8d9

12bc3d(b2cd3 - 2 + 4b4c5d5)