Factoring and Solving with GCF

Find the GCF of 28 and 21

• 7

• 14

• 21

• 28

Find the GCF of 45 and 27

• 8

• 9

• 18

• 21

Find the GCF of 36 and 54

• 3

• 6

• 9

• 18

Find the GCF of 17 and 25.

• 1

• 3

• 17

• 25

Which of the following is equivalent to the expression 25x² - 81?

• (5x - 9)²

• (5x + 9)(5x - 9)

• 25(x - 9)²

• (9x + 5)(9x - 5)

Factor using GCF or monomial factoring: 56a³ - 8a

• 8a²(56a³ - 8a)

• 8a(7a² - 1)

• 8a(7a³ - a)

• 8a²(35a² - a)

Solve by factoring:

x² + 13x + 12 = 0

• x = −12 and x = −1

• x = 12 and x = 1

• x = 13 and x = 1

• x = −13 and x = −1

Solve by factoring:

x² − 14x + 45 = 0

• x = 1 and x = 45

• x = −1 and x = 45

• x = −5 and x = 9

• x = 5 and x = 9

Factor completely:

  x² - 4x - 32

• (x - 8)(x + 4)

• (x - 4)(x - 32)

• (x + 3)(x - 4)

• (x + 2)(x + 5)

Factor completely:

6x² + 5x − 6

• 6(x + 1)(x − 6)

• (6x + 6)(x − 1)

• (2x − 3)(3x + 2)

• (3x − 2)(2x + 3)