JAMB Mathematics 1992 Question 14

Question 14

Polynomials

If x + 1 is a factor of x3 + 3x2 + kx + 4, find the value of k.

  1. A.6
  2. B.−6
  3. C.8
  4. D.−8
Show the answer and explanation

Answer: A (6)

Explanation

By the factor theorem, putting x = −1 gives zero: −1 + 3 − k + 4 = 0, so k = 6.