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For P(x) = x^3 – 6*x^2 – 7*x + 60, which of the following are factors? Select all correct options.

  • x – (-6)
  • x – (3)
  • x – (-1)
  • x – (6)
  • x – (4)
  • x – (5)
Correct answer(s):
    • x - (4)
    • x - (5)


For P(x) = x^3 – 8*x^2 – 3*x + 90, which of the following are factors? Select all correct options.

  • x – (-3)
  • x – (-5)
  • x – (4)
  • x – (2)
  • x – (6)
  • x – (-7)
Correct answer(s):
    • x - (-3)
    • x - (6)

For P(x) = x^3 – 6*x^2 – x + 30, which of the following are factors? Select all correct options.

  • x – (2)
  • x – (3)
  • x – (-3)
  • x – (-1)
  • x – (6)
  • x – (5)
Correct answer(s):
    • x - (3)
    • x - (5)

For P(x) = x^3 – x^2 – 25*x + 25, which of the following are factors? Select all correct options.

  • x – (7)
  • x – (-6)
  • x – (5)
  • x – (-2)
  • x – (-5)
  • x – (-3)
Correct answer(s):
    • x - (5)
    • x - (-5)

For P(x) = x^3 + 4*x^2 – 7*x – 10, which of the following are factors? Select all correct options.

  • x – (2)
  • x – (1)
  • x – (6)
  • x – (-2)
  • x – (4)
  • x – (-1)
Correct answer(s):
    • x - (2)
    • x - (-1)

For P(x) = x^3 – x^2 – 9*x + 9, which of the following are factors? Select all correct options.

  • x – (-3)
  • x – (-6)
  • x – (6)
  • x – (7)
  • x – (-5)
  • x – (3)
Correct answer(s):
    • x - (-3)
    • x - (3)

For P(x) = x^3 + 4*x^2 – 7*x – 10, which of the following are factors? Select all correct options.

  • x – (-6)
  • x – (4)
  • x – (-7)
  • x – (-1)
  • x – (-2)
  • x – (-5)
Correct answer(s):
    • x - (-1)
    • x - (-5)

For P(x) = x^3 – 4*x^2 – 27*x + 90, which of the following are factors? Select all correct options.

  • x – (6)
  • x – (2)
  • x – (1)
  • x – (3)
  • x – (-3)
  • x – (4)
Correct answer(s):
    • x - (6)
    • x - (3)

For P(x) = x^3 – 19*x – 30, which of the following are factors? Select all correct options.

  • x – (-2)
  • x – (-1)
  • x – (-5)
  • x – (4)
  • x – (3)
  • x – (5)
Correct answer(s):
    • x - (-2)
    • x - (5)


For P(x) = x^3 – 7*x – 6, which of the following are factors? Select all correct options.

  • x – (-6)
  • x – (3)
  • x – (-3)
  • x – (2)
  • x – (-5)
  • x – (-2)
Correct answer(s):
    • x - (3)
    • x - (-2)

For P(x) = x^3 – 4*x^2 – 27*x + 90, which of the following are factors? Select all correct options.

  • x – (-5)
  • x – (7)
  • x – (6)
  • x – (-1)
  • x – (5)
  • x – (-3)
Correct answer(s):
    • x - (-5)
    • x - (6)

For P(x) = x^3 – 8*x^2 – 3*x + 90, which of the following are factors? Select all correct options.

  • x – (-2)
  • x – (5)
  • x – (-3)
  • x – (7)
  • x – (2)
  • x – (-6)
Correct answer(s):
    • x - (5)
    • x - (-3)

For P(x) = x^3 – 2*x^2 – x + 2, which of the following are factors? Select all correct options.

  • x – (2)
  • x – (3)
  • x – (1)
  • x – (-4)
  • x – (5)
  • x – (4)
Correct answer(s):
    • x - (2)
    • x - (1)

For P(x) = x^3 – 8*x^2 + 9*x + 18, which of the following are factors? Select all correct options.

  • x – (2)
  • x – (6)
  • x – (1)
  • x – (-5)
  • x – (-7)
  • x – (-1)
Correct answer(s):
    • x - (6)
    • x - (-1)

For P(x) = x^3 – x^2 – 9*x + 9, which of the following are factors? Select all correct options.

  • x – (6)
  • x – (7)
  • x – (-3)
  • x – (-7)
  • x – (1)
  • x – (2)
Correct answer(s):
    • x - (-3)
    • x - (1)

For P(x) = x^3 + 8*x^2 + 11*x – 20, which of the following are factors? Select all correct options.

  • x – (-3)
  • x – (-4)
  • x – (7)
  • x – (-5)
  • x – (3)
  • x – (4)
Correct answer(s):
    • x - (-4)
    • x - (-5)

For P(x) = x^3 – 9*x^2 + 8*x + 60, which of the following are factors? Select all correct options.

  • x – (5)
  • x – (4)
  • x – (-3)
  • x – (-2)
  • x – (-1)
  • x – (-5)
Correct answer(s):
    • x - (5)
    • x - (-2)

For P(x) = x^3 + 3*x^2 – 16*x – 48, which of the following are factors? Select all correct options.

  • x – (-3)
  • x – (-5)
  • x – (2)
  • x – (6)
  • x – (5)
  • x – (-4)
Correct answer(s):
    • x - (-3)
    • x - (-4)


Find the remainder when P(x) = 4x^3 + (7)x + (5) is divided by x – (-1).

  • -6
  • 6
  • -7
  • 16
Correct answer(s):
    • -6

Find the remainder when P(x) = 2x^3 + (8)x + (0) is divided by x – (2).

  • 34
  • 32
  • 10
  • -32
Correct answer(s):
    • 32