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JAMB Mathematics 2006 Question 43

Question 43

Polynomials

Find the value of k if the expression kx3 + x2 − 5x − 2 leaves a remainder 2 when it is divided by 2x + 1.

  1. A.10
  2. B.8
  3. C.−10
  4. D.−8
Show the answer and explanation

Answer: C (−10)

Explanation

Put x = −½: −k/8 + 1/4 + 5/2 − 2 = 2, so −k/8 = 5/4 and k = −10.