Factoring Polynomials

What is the GCF? 5x²+20x

• 5
• x
• 5x
• 20x

What is the GCF? 3x²-2x

• 3
• 3x
• x
• 2

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:
x² - 5x

• 1(x - 5)
• x(x - 5x)
• x(x - 5)
• x²(1 - 5)

Factor:
10x + 15

• 100x + 150
• 10(x + 5)
• 1(10x + 15)
• 5(2x + 3)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:
2n²+16n+12

• 2n(n²+24n+6)
• 2(n²+8n+6)
• 2n(n²+8n+6)
• 3(n²+8n+6)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:
80x⁵-70x²-60x⁷

• 2x²(80x³-70-60x⁶)
• 10x²(80x⁴-70x-60x⁶)
• 10x²(8x³-7-6x⁵)
• 3x²(80x³-40-60x⁵)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor by grouping
x³ - 4x² -4x + 16

• (x+4)(x+2)
• (x-4) (x + 2) ( x -2)
• (x+4)(x² -4)
• (x-4)(x-2)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Decide if (x-3) is a factor of 3x³+10x²-x-12

• Yes, it is a factor
• No, it is not a factor

Tags

CCSS.HSA.APR.B.2

Factor by grouping:
4p³+8p²+3p+6

• (2p²+3)(p+2)
• (2p²+6)(p+4)
• (4p²+3)(p+2)
• (4p²+8p)(3p+6)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What is the factored form of 5n³-10n²+3n-6

• (5n²+3)(n-2)
• (5n²-3)(n-2)
• (5n³+3)(n-2)
• 10n(n²-6)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3