HONORS Test #1- Factoring Polynomials

Factor out the GCF:
10x³ - 15x

• x(10x² - 15)
• 5x(2x² - 3)
• 5(2x³ - 3x)
• 5x²(10x - 3)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

30x³+15x²-18x-9

• (5x²-3)(6x+1)
• (5x²-3)(6x+3)
• 3(5x²+3)(2x-1)
• 3(5x²-3)(2x+1)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor the Polynomial

12x³ - 9x² + 4x - 3

• (3x² + 1) (4x - 3)

• (3x² - 1) (4x + 3)

• (4x² + 1) (3x - 3)

• (4x² - 1) (3x + 3)

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

10x³ + 30x² + 20xy

• 5x(2x² + 6x + 4y)

• 10x(x² + 3x + 2y)

• 10x(x² + 3x + 2)

• 5x(2x² + 6x + 4)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

63x⁶y⁸ + 28x¹⁰y⁴ - 42x¹²y¹⁰

• 7x⁶y⁴(9y⁴ + 4x⁴ - 6x⁶y⁶)

• 7x⁶y⁸(9 + 4x⁴ - 6x⁶y²)

• 7x⁶y⁴(9y⁴ + 4x⁵ - 6x⁶y⁶)

• 7x²y²(9x⁴y⁶ + 4x⁸y² - 6x¹⁰y⁸)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor Completely.  
8x³ - 18x

• 2x(4x²-9)                                    
• (4x²+3)(2x-3)
• 2x(2x+3)(2x-3)
• PRIME

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor this sum of cubes:

2x³ + 128

• 2(x³ + 64)

• (x + 4)(x² - 4x + 16)

• 2(x - 4)(x² + 4x + 16)

• 2(x + 4)(x² - 4x + 16)

Tags

CCSS.HSA.APR.C.4

Factor 343m³-64n³

• (7m-4n)(49m²+28mn+16n²)

• (7m+4n)(7m²-28mn+16n²)

• (7m-4n)(49m²+16n²)

• (7m+4n)(49m²-16n²)

Tags

CCSS.HSA.APR.C.4

64x² - 81y²

• (8x + 7y) (8x - 7y)

• (8x + 9y) (8x - 9y)

• (6x + 7y) (6x - 7y)

• (6x + 9y) (6x - 9y)

Tags

CCSS.HSA.APR.C.4

Factor Completely: 
x⁴-9x²

• x²(x+3)(x-3)
• (x²+3x)(x²-3x)
• (x²+9)(x-3)(x+3)
• x²(x²-9)

Tags

CCSS.HSA.APR.C.4