3.1 Factoring Polynomials

Factor Completely: 2k²-14k-60

• 2(k-10)(k-3)

• Not Factorable

• (k-5)(k+9)

• 2(k-10)(k+3)

Factor completely:

4x²y - 12xy + 5y

• (2xy - 1) (2x - 5)

• prime

• y (2x - 1) (2x - 5)

• 4 (xy - 5) (x - 1)

Factor completely:

4x² - 121

• (2x + 11) (11 - 2x)

• (2x - 11) (2x - 11)

• (2x + 11) (2x + 11)

• (2x + 11) (2x - 11)

Factor completely:

-8x² + 10x + 3

• (2x - 3) (-4x + 1)

• -1 (2x - 3) (4x + 1)

• -1 (-2x + 3) (4x + 1)

• (-2x + 3) (4x - 1)

Factor Completely:

9x² - x⁴

• x²(3 + x)(3 - x)

• (x²+3x)(x²-3x)

• x²(x + 3)(x - 3)

• x²(9 - x²)

Factor:  27x³ + 8

• (3x + 2)(9x² - 6x + 4)
• (9x + 2)(3x² + 18x + 4)
• (3x²+4)(9x + 2)
• (27x + 8)(x² - 216x + 64)

Tags

CCSS.HSA.SSE.A.2

Factor Completely:

2n³ + 7n² - 2n - 7

• cannot be factored

• (n - 1)²(2n + 7)

• (n² - 1)(2n + 7)

• (n + 1)(n - 1)(2n + 7)

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.APR.B.3

CCSS.HSA.SSE.A.2

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: 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.B.2

CCSS.HSA.SSE.A.2

Factor Completely:

4w⁴ + 16w² + 15

• (w² + 10)(w² + 6)

• (2w²+ 5)(2w² + 3)

• (w² + 15)(4w² + 1)

• (2w + 5)(2w + 3)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3