Mixed Factoring Practice

Factor: 3x² - 17x + 10

• (x-5)(3x-2)

• (x+5)(3x+2)

• (3x-5)(x-2)

• (x+5)(3x-2)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What is the first step when factoring polynomials?

• Find the GCF
• List all the terms
• Make a triangle
• Write the answer

x² - 16

• Prime
• ( x - 4) ( x + 4) 
• ( x - 8) ( x + 8) 
• ( x - 4) ( x - 4) 

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor: x² + 9x + 18

• (x+6)(x+3)

• (x-6)(x-3)

• (x-6)(x+3)

• (x+6)(x-3)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Facotr: 12x³ + 9x²

• 3(4x³ + 3x²)

• x²(12x + 9)

• 3x²(4x - 3)

• prime

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:

17xy² - xy

• 17(xy² - x)

• y(17xy - x)

• xy(17y - 1)

• prime

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completely: 2x² + 13x + 15

• (2x + 5)(x + 3)

• (x + 5)(x + 3)

• 2(x + 3)(x + 5)

• (2x + 3)(x + 5)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completely: -5x² + 30x - 40

• -5(x-2)(x-4)

• (x-2)(x-4)

• -(5x-8)(x-5)

• (5x+10)(x+4)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completely: x² - 13x + 40

• (x-5)(x-8)

• (x+5)(x+8)

• (x-4)(x-10)

• (x-2)(x-20)

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor completely:

5k³ + 10k² + 5k

• 5k(k² +2k + 1)

• 5(k³ + 2k² + k)

• k(5k² + 10k + 5)

• 5k(k + 1)(k + 1)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3