Factoring GCF, Grouping, and Trinomials

Factor Completely:

2c² + 4c - 84

• (c-6)(2c+14)

• (c+7)(2x-12)

• (c-4)(2c+21)

• 2(c+7)(c-6)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:
x² + 2x - 24

• (x - 6)(x + 4)
• (x + 6)(x + 4)
• (x - 6)(x - 4)
• (x + 6)(x - 4)

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor by grouping:
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

7r³-8r²+42r-48

• (r²+6)(7r+8)
• (r²+6)(7r-8)
• (r²+6)(r²+8)
• (r²+6)(7r+6)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

What do you call a polynomial that cannot be factored?

• FOIL
• Simplified
• Prime
• Proper

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

What is the greatest common factor of the two terms in the expression x⁵y²+x²y⁷z

• x²
• x²y²z
• x²y²
• x⁵y⁷z

Tags

CCSS.HSA.APR.A.1

Factor

18a²b⁴c + 24ab³c²

• 6ab³c(3ab + 4c)

• 3abc(6ab³ + 8b²c)

• 6abc(3ab³ + 4c)

• 6ab3c(3b + 4c)

Factor
a² - a - 12

• (a - 4)(a + 3)
• (a + 6)(a - 4)
• (a - 6)(a + 4)
• (a + 4)(a - 3)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:
x² + 4xy + 4y²

• (x + y)(4x + 4y)
• (x + 2y)(x + 2y)
• (2x + y)(2x + y)
• (x + 2)(x + 2)

Tags

CCSS.HSA.APR.C.4