Factoring & Solving Polynomial

Factor out the GCF:
9x⁴y - 24x²

• 9x²y(x² - 3)
• 3x³(3xy - 8)
• 3x²(3x²y - 8)
• x²(9x²y - 24)

Factor the trinomial:
x² - 4x - 12 

• (x - 6)(x - 2)
• (x - 8)(x + 2)
• (x - 6)(x + 2)
• (x + 6)(x - 2)

Factor the trinomial:
x² - 6x + 9 

• (x + 3)²
• (x + 3)(x - 3)
• (x - 9)(x - 3)
• (x - 3)²

Tags

CCSS.HSA.APR.C.4

Factor the binomial:
9x² - 25

• (3x - 5)(3x + 5)
• (3x - 5)(3x - 5)
• (3x + 5)(3x + 5)
• (9x + 5)(x - 5)

Tags

CCSS.HSA.APR.C.4

Factor  by grouping:
20x² - 16x - 25x +20

• (20x - 5)(x - 4)
• (4x + 5)(5x + 4)
• (5x - 4)(4x - 5)
• (5x + 4)(4x - 5)

Factor out the GCF:
12x²y⁵ - 18xy⁷

• 2xy⁵(6x - 9y²)
• 3y⁵(4x² - 6xy²)
• xy⁵(12x - 18y⁵)
• 6xy⁵(2x - 3y²)

Factor the trinomial completely:
3x² + 15x + 12 

• (3x + 4)(x + 3)
• (3x + 6)(x + 2)
• 3(x + 4)(x + 1)
• 3(x² + 5x + 4)

Factor completely:
x³+7x²-2x-14

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

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.SSE.A.2

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

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

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor: 8x³ - 1

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

Tags

CCSS.HSA.APR.C.4