Polynomial Review

Find all the zeros, given that f(-3) = 0
f(x) = 2x³+5x²-6x-9

• -1,-3,-3

• -1,-3,3/2

• 3,3,3

• -3,2/3,-1

Tags

CCSS.HSF-IF.C.7C

Which of the following is a COMPLETE  list of all possible Rational Zeros?
f(x) = 2x³ + 5x² - 9x + 5

• ±1, ±5, ±1/2, ±5/2

• ±1, ±2, ±5, ±1/2, ±5/2

• ±1, ±5

• ±1, ±2, ±5, ±1/2, ±5/2, ±2/5

Tags

CCSS.HSA.APR.B.2

Use Synthetic division and the remainder theorem to find f(-2) if f(x) = 2x⁴- 3x³ + 1.

• f(-2) = 51

• f(-2) = 11

• f(-2) = 63

• f(-2) = 57

Tags

CCSS.HSA.APR.D.6

Find all the real zeros of the function 
f(x) = 2x³ - 19x² + 38x + 24 given that (x-4) is a factor.

• x = 1/2, -6

• x = -1/2, 6

• x = 4, -1/2, 6

• x = -4, 1/2, -6

Tags

CCSS.HSA.APR.B.2

State the zeros of the polynomial (include multiplicity):
f(x) = (x²+9)(x -1)³(2x + 5)

• -9, 1, -5

• -9, 1 (multiplicity of 3), -5

• ± 3i , 1 (multiplicity of 3), -5∕2

• ± 3i, 1, -5

Tags

CCSS.HSF-IF.C.7C

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

Determine the end behavior of the graph of 
f(x) = -3x³ + 2x - x⁴

• As x →∞, f(x) →∞.
  As x→-∞, f(x) →-∞.

• As x →∞, f(x) →∞.
  As x→-∞, f(x) →∞.

• As x →∞, f(x) →-∞.
  As x→-∞, f(x) →∞.

• As x →∞, f(x) →-∞.
  As x→-∞, f(x) →-∞.

Factor completely
16x² - 16x - 12?

• 
  4(2x - 2) (2x + 2)

• 
  (2x - 3) (8x + 4)

• 
  (8x - 12) (2x + 3)

• 
  4(2x - 3) (2x + 1)

Multiply.
(3x - 5)(4x² - 2x - 3)

• 12x³ - 26x² - 25x + 15

• 12x³ - 20x² - 5x + 15

• 12x³ - 20x² - 6x + 15

• 12x³ - 26x² + x + 15

Tags

CCSS.HSA.APR.A.1

2x³ - 5x² + 3x + 7 ÷ x - 2

• 2x³ - x² + x + 9

• 2x² - x + 1

• 2x² - x + 1 + 9/(x - 2)

• 2x² - 9x - 15 - 23/(x - 2)

Tags

CCSS.HSA.APR.D.6