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Finding GCF

100

What is the gcf(8,24)

8

200

Find the gcf(40, 30)

10

300

Find the gcf(20,12,24)

4

400

Find the gcf(30,66,96)

6

500

Find the gcf(72,96,128)

8

Factoring Trinomials a = 1

100

x² + 6x + 5

(x+1)(x+5)

200

x² + 7x + 12

(x+3)(x+4)

300

x² - 6x - 7

(x-7)(x+1)

400

x² - x - 30

(x-6)(x+5)

500

x² - 10x + 25

(x-5)(x-5)

Factoring Trinomials a > 1

100

2x² + 6x + 36

2(x+6)(x-3)

(2x + 12)(x-3)

or

(2x - 6)(x+6)

200

3x² + 14x + 8

(x+4)(3x+2)

300

3x² + 31x + 10

(3x+1)(x+1)

400

5x² + 14x + 8

(5x+4)(x+2)

500

6x² + 24x + 24

2(3x+6)(x+2)

(6x+12)(x+2)

or

(2x+4)(3x+6)

Factoring by Grouping

100

2x² + 6x + 3x + 9

(2x+3)(x+3)

200

x² + 4x + 3x + 12

(x+3)(x+4)

300

5x² + 10x + 8x + 16

(5x+8)(x+2)

400

2x² + 12x - 3x - 18

(2x-3)(x+6)

500

6x² - 36x - 7x + 42

(6x-7)(x-6)

Multivariable Polynomials

100

2ac + 8ad + 3xc + 12xd

(2a+3x)(c+4d)

200

xy + 2x + 8y + 16

(x+8)(y+2)

300

2bc - 10c + 5b - 25

(2c+5)(b-5)

400

3bf - 27b - 4f + 36

(3b-4)(f-9)

500

6xy + 36x - 10y - 60

(6x-10)(y+6)