Factoring Cubics

Is the factor a root of the polynomial?

• Yes, remainder is 0.

• No, remainder is not 0.

Tags

CCSS.HSA.APR.B.2

List all the possible rational zeros
h(x) = x³ - 5x²+2x+12

• 1,2,3,4,6,12

• 1,2,6,12

• 1,2,3,4,6,12,-1,-2,-3,-4,-6,-12

Tags

CCSS.HSF-IF.C.7C

3x³ + 24

• 3(x³ + 8)

• 3(x + 2)(x² - 2x + 4)

• 3(x + 2)(x² + 2x - 4)

• 3(x + 8)(x² - 8x + 64)

Tags

CCSS.HSA.APR.C.4

2x³ + 128

• 2(x³ + 64)

• (x + 4)(x² - 4x + 16)

• 2(x - 4)(x² + 4x + 16)

• 2(x + 4)(x² - 4x + 16)

Tags

CCSS.HSA.APR.C.4

Factor completely:
x³ + 3x² - 4x - 12

• (x + 3)(x² - 4)

• (x + 3) (x + 2)(x - 2)

• (x² + 4) (x - 3)

• (x² + 3)(x - 4)

x³-5x²+5x-25

• (x²-5)(x-5)

• (x²+5)(x-5)

• (x²+5)(x+5)

• (x²-1)(x-25)

Factor.

2a³ +10a² + 12a

• 2a(a + 2)(a + 3)

• 2(a² + 5a + 6)

• 2a(a + 6)(a + 2)

• 2(a + 4)(a + 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

Factor
27x³-64

• (3x-4)(9x²+12x+16)

• (3x-4)(9x²-12x+16)

• (3x+4)(9x²-12x+16)

• (3x+4)(9x²+12x+16)

Tags

CCSS.HSA.APR.C.4

Factor this difference of cubes:
x³ - 343

• (x + 7) (x² - 7x + 49)

• (x² + 1) (x - 343)

• (x - 7) (x² + 7x + 49)

• (x² - 343) (x + 1)

Tags

CCSS.HSA.APR.C.4