Test 5: Polynomials Factoring & Division

Factor: 27x³ + 8

• (3x + 2)(9x² - 6x + 4)

• (9x + 2)(3x² + 18x + 4)

• (3x +2)(9x² + 6x + 4)

• (3x -2)(9x² + 6x + 4)

Factor by grouping:

4p³+8p²+3p+6

• (2p²+3)(p+2)

• (2p²+6)(p+4)

• (4p²+3)(p+2)

• (4p²+3)(p+2)²

Factor by grouping:
30x³+15x²-18x-9

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

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

What is the remainder when the polynomial p(x) is divided by (x-5)?
p(x) = x³ - 5x² + 2x - 10

• 0
• -10
• -2x-10
• 2

Tags

CCSS.HSA.APR.B.2

Find the real root(s) of 8x³ - 27=0

• 5/2

• -5/2

• 2/5, -2/5

• 5/2, -5/2

• 4x - 2

• 4x + 2

• 4x - 2 + $\frac{1}{3x-1}$

• 4x + 2 + $\frac{1}{3x-1}$

Divide using synthetic division 
(2x³ + 4x² - 5) by (x + 3).

• 2x² + 2x - 4  R(-12)
• 2x² - 2x + 6  R(-23)
• 2x² - 2x + 8  R(-20)
• 2x² - 4x + 1  R0

Tags

CCSS.HSA.APR.D.6

Divide.

• (x + 4)/(x + 3)

• x + 5

• x + 4 + $\frac{5}{x+3}$

• x + 4 - $\frac{5}{x+3}$

Factor Completely:

k⁴ - 10k² - 39

• (k² - 13)(k² + 3)

• (k - 13)(k + 3)

• (k² + 13)(k² - 3)

• (k + 13)(k - 3)

Solve: x³ + 3x² − 16x − 48 = 0

• x = 4, 3

• x = 4, −3

• x = ±4, 3

• x = ±4, −3