Factoring

GCF

100

15, 35

5

200

24, 32

8

300

6x³, 10x⁵

2x³

400

24x², 8x⁴ 

8x²

500

22x³y², 55x⁵y³

11x³y²

GCF of Polynomials

100

Factor out the GCF from the following polynomial:

100x + 200

100 (x + 2)

200

70x² - 100x

10x (7x - 10)

300

5x⁹ - 45x⁶

5x⁶ (1x³ - 9)

400

10x² + 6x⁴ - 20x

2x(5x + 3x³ - 10)

500

12x⁴ + 36x² -28x

4x ( 3x³ + 9x - 7)

Trinomials

100

x² + 8x + 15

(x + 3) (x + 5)

200

x² + 7x + 12

(x + 3) (x + 4)

300

x² - 9x + 18

(x - 3) (x - 6)

400

x² - 2x - 15

(x - 5) (x + 3)

500

x² - 3x - 54

(x - 9 ) (x + 6)

More Trinomials

100

x² + 5x + 6

(x + 3) (x + 2)

200

x² + 6x - 7

(x + 7) (x - 1)

300

x² + 11x + 28

(x + 4) (x + 7)

400

x² - 10x + 24

(x - 4) (x - 6)

500

x² - 5x - 24 

(x + 3) (x - 8)

Factor by Grouping

100

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

(x - 5) (2x + 4)

200

12(x + 3) - 3x(x + 3)

(x + 3) (12 - 3x)

300

x² ( 7x + 1) - 5 (7x + 1)

(7x + 1) ( x² - 5)

400

5x² (2 x + 1) + 4 (2x + 1)

(2x + 1)(5x² + 4)

500

2x² ( x + 1) - 3 (x + 1)

(x + 1) (2x² - 3)