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      Question

      If the expression (px3  + x2  -

      2x - q) is divisible by (x-1) and (x + 1), what are the values of p and q respectively ?
      A 2, - 1 Correct Answer Incorrect Answer
      B - 2, 1 Correct Answer Incorrect Answer
      C - 2, - 1 Correct Answer Incorrect Answer
      D 2, 1 Correct Answer Incorrect Answer

      Solution

      Putting x = 1, - 1 in the equation, p(1)3  + (1)2  - 2(1) - q = 0 p - q = 1                    -     I And p(-1)3  + (- 1)2  - 2 (-1) - q = 0 p + q = 3              -       II on solving equ. I & II, we get, p = 2, q = 1

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