Factoring by GCF

Factor by GCF:
17xy - x

• 17(xy - x)
• y(17x - x)
• x(17y - 1)
• not factorable

Factor:
p² - 14p

• p(1 - 14)
• 2p(p - 7)
• p²(1-14)
• p(p - 14)

Factor:
 2n²-8n³

• 2n²(n-4n²)
• 2n²(1-4n²)
• 2n³(10-8n²)
• 3n(1-4n)

Factor:
2n³+16n+12

• 2n(n³+24n+6)
• 2(n³+8n+6)
• 2n(n³+8n+6)
• 3(n³+8n+6)

39y⁵ + 12y⁴ - 3y³

• 3y(13y⁴ + 4y³ - y²)
• 3y³(13y² + 4y - 1)
• y³(39y² + 12y - 3)

Factor:
10a⁴+16a+10a²

• 2a(5a³⁺8+5a)
• 2a⁴(5a+8a²+5a³)
• 2a⁴(10+16a+40a²)
• 3a³(5+8a+a²)

Factor:
24c⁵ - 12c³

• 6(4c⁵ - 2c³)
• 12c³(2c²)
• 12c³(2c² - 1)
• 12c³(2c² - 0)

Factor completely

4a³b⁵ - 18a²b³ + 8a³b³

• 4a²b³ (ab² - 4 + 2a)

• 2a²b³ (2ab² - 9 + 4a)

• 2a²b³ (2ab - 9ab + 4)

• a²b (4ab - 18a²b³ + 8ab²)

Tags

CCSS.HSA.APR.C.4

Factor completely

21x⁷y⁶ + 30x⁵y⁸ - 18x⁵y⁶

• 3xy (7x⁴y² + 10x²y⁶ - 6x)

• 3x⁵y⁶ (7y² + 10 x² - 6)

• 3x⁵y⁶ (7x² + 10y² - 6)

• 3x⁷y⁸ (7y² + 10x² - 6x²y²)

Factor completely

45xy + 15x³y + 10y

• 5y (9xy + 3x² + 2y)

• 5xy (9 + 3x² + 2)

• 5x (9y + 3xy + 2)

• 5y (9x + 3x³ + 2)