Factoring and Solving Polynomials

Factor:

p² - 14p

• p(1 - 14)

• 2p(p - 7)

• p²(1-14)

• p(p - 14)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:

x² + 11x + 24

• (x + 6)(x + 4)

• (x + 12)(x + 2)

• (x - 8)(x - 3)

• (x + 8)(x + 3)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:
x² + 5x - 24

• (x - 8)(x + 3)
• (x + 8)(x - 3)
• (x + 6)(x - 4)
• (x + 12)(x - 2)

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor:

x² - 16

• Prime

• ( x - 4) ( x + 4)

• ( x - 8) ( x + 8)

• ( x - 4) ( x - 4)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor x³+125

• (x+5)(x²-25)

• (x-5)(x²+25)

• (x+5)(x²-5x+25)

• (x-5)(x²+5x+25)

Tags

CCSS.HSA.SSE.A.2

Factor n³-27

• (n-3)(n²+9)

• (n+3)(n²-9)

• (n+3)(n²-3x+9)

• (n-3)(n²+3x+9)

Tags

CCSS.HSA.APR.B.2

CCSS.HSA.SSE.A.2

Factor 8z³+125

• (2z+5)(4z²-25)

• (2z+5)(4z²+10z+25)

• (2z+5)(4z²-10z+25)

• 4z+5)(2z²-5z+25)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

Factor by Grouping:
x³ - 5x² + 5x - 25

• (x² - 5) (x - 5)
• (x² + 5) (x - 5)
• (x² + 5) (x + 5)
• (x² - 1) (x - 25)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor by grouping

x³ - 4x² -4x + 16

• (x+4)(x+2)

• (x-4)(x-2)(x+2)

• (x+4)(x-2)(x+2)

• (x-4)(x-2)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Factor Completely:  3n² - 15n + 18

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

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3