Common Factor
Factor out
Multiply
100

A (the biggest) number or term that evenly goes into (multiplies to get) every term of a polynomial.

What is the definition of a Common factor?

100

x2-6x+8

what is (x-2)(x-4)

100

(x+4)2

x2+8x+16

200

2x+14

What has a factor of 2

200

2x2+14x+20

What is 2(x+5)(x+2)

200

(x-2)(2x+6)

2x2+2x-12

300

3x+15x+12

What has a common factor of 3

300

10x2+110x+240

What is 10(x+8)(x+3)

300

(x+7)2

x2+14x+49
400

4(x+2) is an example of

What is factored form? 

400

x2+16x+48

(x+4)(x+12) 

400

(x+3)(x-9)

x2-6x-27

500

5a2+25x+25 

Has a common factor of 5 

500

(x+10)(x-10)

What is x2-100

500

(-2x+6)(3x-4x2+5)

8x-30x2+8x+30

600

5x2+17x+6

What does not have a common factor? 

600

2x+16x+30

2(x+3)(x+5)

600

(4x-10)(5x2+7) 

20x3-50x2-42