Factoring Higher Polynomials with Degree >2

Factor Completely: x⁴-9x²

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

Factor Completely: 16q³-48q²+36q

• 4q(2q-3)²
• 4q(2q+3)²
• 4(4q³-12q²+9q)
• 4q(2q-3)(2q+3)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor the GCF
4b⁴+4b³+16b²

• 4b²(b⁴+b²+4b)
• 4b(b³+4b+5)
• 4(b⁴+b³+4b²)
• 4b²(b²+b+4)

Factor the GCF
39y⁵ + 12y⁴ - 3y³

• 3y(13y⁴ + 4y³ - y²)
• 3y³(13y² + 4y - 1)
• y³(39y² + 12y - 3)
• not factorable

Fully Factor the Following
216x³+125

• 6(x+5)³
• (6x+5)³
• (6x+5)(6x²-30x+25)
• (6x+5)(36x²-30x+25)

Factor: 8x³ - 1

• (2x - 1)(4x² + 2x + 1)
• (2x + 1)(4x² - 2x + 1)
• (2x - 1)(4x² - 2x - 1)
• (2x + 1)(4x² +2x + 1)

Factor completely:
5n³ - 10n² + 3n - 6

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

Factor completely:
48x²y² - 75y²

• 3y²(4x - 5)(4x + 5)
• 3(4xy - 5y)(4xy + 5y)
• 3xy(4x - 5y)(4x + 5y)
• 3y²(16x² - 25)

Factor completely:
x³+7x²-2x-14

• (x²-2)(x-7)
• (x²+2)(x-7)
• (x²+2)(x+7)
• (x²-2)(x+7)

Factor completely:
2x³ + 5x² - 8x - 20

• (x² - 4)(2x + 5)
• (2x - 5)(x² + 4)
• (2x² - 4)(x + 5)
• (x - 2)(x + 2)(2x + 5)