Factoring Review

GCF

100

Factor: 

2x² + 14

2(x² + 7)

200

Factor:
8a - 16

8(a - 2)

300

Factor:

-25z² - 125z

-25z(z + 5)

400

Factor:
-9x² - 45x + 9

-9(x² + 5x - 1)

500

Factor:

15n⁴ + 15n² + 25n - 25

5(3n⁴ + 3n² + 5n - 5)

Factor a=1

100

Factor:
r² - 6r + 8

(r - 4)(r - 2)

200

Factor:
x² + 8x + 12 

(x + 2)(x + 6)

300

Factor:
k² - 10k - 24 

(k - 12)(k + 2)

400

Factor:

m² + 5m - 36

(m - 4)(m + 9)

500

Factor:

x² - 14x - 72

(x - 18)(x + 4)

Factor a>1

100

Factor:

3x² - 4x + 1

(3x - 1)(x - 1)

200

Factor:

3v² - 34v + 80

(3v - 10)(v - 8)

300

Factor:

2p² - 3p - 27

(2p - 9)(p + 3)

400

Factor:

5r² + 23r - 10

(5r - 2)(r + 5)

500

Factor:

5x² - 51x + 54

(5x - 6)(x - 9)

Special Cases

100

Factor:

x² + 6x + 9

(x + 3)²

200

Factor:
x² - 25

(x - 5)(x + 5)

300

Factor:
49x² - 100

(7x - 10)(7x + 10)

400

Solve by completing the square:

x^2-10x+9=0

x = 9

x = 1

500

Solve by completing the square:

5m^2-20m-70=-10

x = -2

x = 6

Factor by GCF First

100

Factor:

4x² + 28x + 40

4(x + 2)(x + 5)

200

Factor:

3x² + 3x - 216

3(x + 9)(x - 8)

300

Factor:

6n² + 33n - 18

3(2n - 1)(n + 6)

400

Factor:

9x³ - 9x

9x(x + 1)(x - 1)

500

Factor:

-2x³ - 8x² - 8x

-2x(x + 2)²