Factoring Polynomials Review

x³ – 15x² + 54x

• (x – 9)(x – 6)

• x(x – 9)(x – 6)

• x(x – 7)(x – 8)

• (x – 7)(x – 8)

2x² + 15x + 27

• (2x + 9)(x + 3)

• (x + 9)(x + 6)

• (2x + 3)(x + 9)

• (2x – 3)(x + 9)

9x² – 25y²

• (3x – 5y)(3x + 5y)

• (3x – 5)(3x + 5)

• (3x² – 5y²)(3x² + 5y²)

• Prime

Factor completely:

x² – 9x – 22

• (x – 11)(x – 2)

• (x – 11)(x + 2)

• (x + 2)(x + 11)

• (x + 11)(x – 2)

Factor:

2x² – 98

• 2(x + 7)(x – 7)

• 2(x + 7)²

• (2x – 7)²

• 2(x + 7)(x – 1)

Factor completely: 
3x² + 18x +15
Hint: Factor GCF first.

• 3(x² + 6x + 5)
• (x + 5)(x + 1)
• 3(x + 5)(x + 1)
• Prime

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:
 2m² + 3m - 9

• 2(m + 3)(m - 3)
• (2m - 3)²
• (m + 3)(2m - 3)
• (2m + 3)(m - 3)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

Factor

3v² – 4v – 7

• (3v – 7)(v + 1)

• 3(v – 7)(v – 1)

• (3v + 1)(v – 9)

• (3v + 1)(v – 10)

Factor

3a² + 4a + 1

• (7a - 10)(a - 8)

• Not factorable

• (3a + 1)(a + 1)

• (3a - 1)(a - 1)

8r³ + 16r²

• 4r²(2r + 4)
• 8r²(r + 2)
• 8(r³ + r²)
• 4(r³ + 2r²)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3