Factoring Review

Factor by finding a GCF:

10x + 15

• 100x + 150

• 10(x + 5)

• 1(10x + 15)

• 5(2x + 3)

Factor by finding a GCF:

56a³ - 8a

• 8a²(56a³-8a)

• 8a(7a²-1)

• 8a(7a³-a)

• 8a²(35a²-a)

Factor by finding a GCF:

x² - 5x

• 1(x - 5)

• x(x - 5x)

• x(x - 5)

• x²(1 - 5)

Factor by finding a GCF:

18a²b⁴c + 24ab³c²

• 6ab³c(3ab + 4c)

• 3abc(6ab³ + 8b²c)

• 6abc(3ab³ + 4c)

• 6ab3c(3b + 4c)

Factor by finding a GCF:

4a³b⁵ - 18a²b³ + 8a³b³

• 4a²b³ (ab² - 4 + 2a)

• 2a²b³ (2ab² - 9 + 4a)

• 2a²b³ (2ab - 9ab + 4)

• a²b (4ab - 18a²b³ + 8ab²)

Factor the difference of squares:

x² - 25

• ( x + 5 ) ( x - 5 )

• ( x - 5 ) ( x - 5 )

• ( x + 5 ) ( x + 5 )

• Prime

Factor the difference of squares:

162m³ - 2m

*Hint: Check for GCF

• not factorable

• 2m(m-9)(m+9)

• 2m(81m-1)

• 2m(9m-1)(9m+1)

Factor the difference of squares:

9x⁴ - 49

• (3x² + 7)(3x² - 7)

• (3x² + 7)²

• (x² - 7)²

• (x²+7)(x²-7)

Factor by grouping:

x³+7x²-2x-14

• (x²-2)(x-7)

• (x²+2)(x-7)

• (x²+2)(x+7)

• (x²-2)(x+7)

Factor by grouping:

20x³-25x²+4x-5

• (5x²-5)(4x+1)

• 5(x²-1)(4x+5)

• (5x²+1)(4x-5)

• (5x²+1)(4x-1)