GCF and Special Factoring

Factor completely: 3x² + 18x +15
Hint: Factor GCF first.

• 3(x² + 6x + 5)

• (x + 5)(x + 1)

• 3(x + 5)(x + 1)

• Prime

Factor completely.

121x² - 49

• ( 11x - 7 ) ²

• ( 11x - 7 ) ( 11x - 7 )

• ( 11x + 7 ) ( 11x - 7 )

• ( 12x + 7 ) ( 12x - 7 )

Factor: 16xy - 24y

• 4y (4x - 6)

• 8y (2xy - 3y)

• 8y (2x - 3)

• 2xy (8 - 12y)

Factor: 12x²y⁴ - 6xy

• 3xy (4xy³ - 2)

• 6xy (2xy³ - 1)

• 6xy (2x³y⁵ - x²y²)

• 6xy ( 2xy³)

Factor by GCF:
10x² + 15x - 5

• 25(10x³+45x-15)

• 5(2x³ + 3x²-x)

• x(10x³+15x-5)

• 5(2x²+3x-1)

Factor: 4a³b⁵ - 18a²b³ + 8a³b³

• 4a²b³ (ab² - 4 + 2a)

• 2a²b³ (2ab² - 9 + 4a)

• 2a²b³ (2ab - 9ab + 4)

• a²b (4ab - 18a²b³ + 8ab²)

Factor: 3x³ + 9x

• 3x (x² + 3)

• 3x ( x³ + 9)

• x (3x² + 9)

• 3x (x³ + 3x)

8x⁶ - 64

• 8(x³-2)(x⁶+2x³+4)

• 8(x² - 2)³

• 8(x²-2)(x⁴+2x²+4)

• 8(x-2)⁶

What is ALWAYS the first step when factoring?

• Look for the GCF

• Write a, b, and c

• Difference of squares

• Group

What is the GCF of the trinomial?
3x² - 9x -120

• 3

• 2

• 6

• 9