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WAEC Further Mathematics 2009 Question 2

Question 2

Polynomials

If (x + 3) is a factor of the polynomial x3 + 3x2 + nx − 12, where n is a constant, find the value of n.

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

Answer: D (−4)

Explanation

By the factor theorem f(−3) = 0: −27 + 27 − 3n − 12 = 0, so −3n = 12 and n = −4.