MCQ
When p(x) = x3 - 3x2 + 4x + 32 is divided by (x + a), the remainder is:
  • A
    4
  • B
    0
  • C
    36
  • D
    32

Answer

  1. 4
    Solution:
    x + 2 = 0 ⇒ x = -2
    By the remainder theorem, we know that when p(x) is divided by (x + 2), the remainder is p(-2).
    Now, we have:
    p(-2) = (-2)3 - 3 × (-2)2 + 4 × (-2) + 32
    = -8 - 12 - 8 + 32
    = 4

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