Algebra 2 Factoring Test

Factor out the GCF
18x³ + 24x² + 36x

• 3x²(6x²+8x+12)
• 6x²(3x²+4x+6)
• 3x(6x²+8x+12)
• 6x(3x²+4x+6)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor out the GCF
16x⁴ + 36x³ – 8x²

• 2x(8x³+18x²-4x)
• 4x²(4x²+9x-2)
• 4x(4x⁴+9x³-2x²)
• 2x²(8x²+18x-4)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor
16n² - 56n² + 96n - 336 

• 8 (n² + 6) (2n - 7) 
• 16 (n² - 6) (n + 3) 
• 8 (n² + 6) (2n + 7) 
• 16 (n² - 7) (n - 3) 

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor
15n³ - 5n² + 9n - 3 

• (5n² - 3) (3n - 1) 
• (5n² + 3) (3n + 1) 
• 3 (5n² - 3) (n - 1) 
• (5n² + 3) (3n - 1) 

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor
4r³ + 29r² + 7r 

• 2 (r - 4) (4r + 3) 
•  r (4r + 7) (r + 1) 
•  r (r + 7) (4r + 1) 
• (r - 7) (4r - 1)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.B.2

Factor
8r² + 26r + 21

• (2r + 3) (4r + 7)
• (2r + 21) (4r + 1)
• (4r + 3) (2r + 7)
• (r + 9) (4r - 3)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor
16x⁴ - y²

• (8x² + y²)(8x² - y²)
• (4x² + y)(4x² - y)
• (8x² + y)(8x² - y)
• (4x² + y²)(4x² - y²)

Tags

CCSS.HSA.SSE.A.2

Factor
2x³ - 432y³

• 2 (x - 6y) (x² + 6xy + 36y²) 
• 2 (x + 6y) (x² - 6xy + 36y²)
• 2 (x - 6y) (x + 6y) 
• 2 (x - 6y) (x + 12xy - 6y) 

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor
98 - 288x²

• 2(49 - 144x²)
• 2(7 - 12x²)(7 - 12x²)
• 2(7 - 12x²)(7 + 12x²)
• (7 - 12x²)(7 - 12x²)

Tags

CCSS.HSA.SSE.A.2

Factor
125x³ - 8

•  (5x + 2) (25x² - 10x + 4) 
• (5x - 2) (5x² - 10x + 4)
• (5x - 2) (25x² + 10x + 4)
• (5x - 2) (5x² + 10x + 4)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3