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JAMB Mathematics 1997 Question 11

Question 11

Polynomials

If the function f(x) = x3 + 2x2 + qx − 6 is divisible by x + 1, find q

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

Answer: A (−5)

Explanation

By the factor theorem f(−1) = 0: −1 + 2 − q − 6 = 0, so −5 − q = 0 and q = −5.