Factoring Review

Factor out the GCF

3x³ + 9x

• 3x (x² + 3)

• 3x ( x³ + 9)

• x (3x² + 9)

• 3x (x³ + 3x)

Factor: 63 + 45p

• 9(7 + 5p)

• 5(9 + 7p)

• 9p(7 + 5p)

• 7(9 + 5p)

Find the factors

16xy - 24y

• 4y (4x - 6)

• 8y (2xy - 3y)

• 8y (2x - 3)

• 2xy (8 - 12y)

Factor using GCF:

2n² - 8n³

• 2n²(n - 4n²)

• 2n²(1 - 4n)

• 2n³(10 - 8n²)

• 3n(1 - 4n)

Factor out the GCF

18x³ + 81x - 27

• 9x (2x² + 9x - 3)

• 3 (6x³ + 27x - 9)

• 9 (2x³ + 9x - 3)

• 9 (2x² + 9x - 3)

Factor out the GCF

4a³b⁵ - 18a²b³ + 8a³b³

• 4a²b³ (ab² - 4 + 2a)

• 2a²b³ (2ab² - 9 + 4a)

• 2a²b³ (2ab - 9ab + 4)

• a²b (4ab - 18a²b³ + 8ab²)

Factor out the GCF

21x⁷y⁶ + 30x⁵y⁸ - 18x⁵y⁶

• 3xy (7x⁴y² + 10x²y⁶ - 6x)

• 3x⁵y⁶ (7y² + 10 x² - 6)

• 3x⁵y⁶ (7x² + 10y² - 6)

• 3x⁷y⁸ (7y² + 10x² - 6x²y²)

Solve by factoring:

n² - 2n = 0

• n = 2 and 0

• n = -2 and 0

• n = 2

• n = 0

Factor:
 x² - 15x + 50

• (x - 10)(x - 15)
• (x - 10)(x - 5)
• (x - 25)²
• (x - 5)²