Factoring Quadratics (LC = 1, GCF, Diff. of Squares)

Factor 6x²-27x

• (6x+1)(x+3)
• 3x(2x-9)
• 6x(x-9)
• (3x-9)(2x+3)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

FACTOR
7w³-14w

• 7w(w²-2)
• 7w(w²-2w)
• 7w(w-2)
• 7w(w+2)

Factor:
24c⁵ - 12c³

• 6(4c⁵ - 2c³)
• 12c³(2c²)
• 12c³(2c² - 1)
• 12c³(2c² - 0)

9x² - 1

• (9x + 1) (9x -1)

• (3x + 1) (3x - 1)

• (3x -1) (3x - 1)

• Prime

Tags

CCSS.HSA.APR.C.4

36k² - 1

• (6k² + 1) (6k² - 1)

• Prime

• (6k + 1)(6k + 1)

• (6k + 1) (6k - 1)

Tags

CCSS.HSA.APR.C.4

2x² - 18

• 2 (x² - 9)

• 2 (x + 3) (x - 3)

• 2 (x² - 3)

• Prime

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

16p⁴ + 4p³

• 4p³ (4p + 1)

• 4p (4p³ + 1)

• 4p (4p³ + p²)

• 4p⁴ (4p + 4p³)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:
7m³ + 14m² - 21m

• 7m(m² + 7m - 3)
• 7(m³ + 2m² - 3m)
• Prime
• 7m(m² + 2m -3)

Factor the trinomial.

• (x+5)(x+4)

• (x+10)(x+2)

• (x+20)(x+1)

• (x+4)(x+3)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor the trinomial.

• (x-4)(x-4)

• (x+4)(x-4)

• (x-8)(x-2)

• (x+8)(x-2)

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3