JAMB Mathematics 2008 Question 13

Question 13

Polynomials

If 2x2 − kx − 12 is divisible by x − 4, find the value of k.

  1. A.4
  2. B.5
  3. C.6
  4. D.7
Show the answer and explanation

Answer: B (5)

Explanation

By the factor theorem, x = 4 gives zero: 32 − 4k − 12 = 0, so k = 5.