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WAEC Further Mathematics 2016 Question 9

Question 9

Polynomials

The remainder when x3 − 2x + m is divided by x − 1 is equal to the remainder when 2x3 + x − m is divided by 2x + 1. Find the value of m.

  1. A.−7/8
  2. B.−3/8
  3. C.1/8
  4. D.5/8
Show the answer and explanation

Answer: C (1/8)

Explanation

1 − 2 + m = 2(−⅛) − ½ − m, so m − 1 = −¾ − m, 2m = ¼ and m = ⅛.