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WAEC Further Mathematics 2019 Question 31

Question 31

Polynomials

The function f: x → x2 + px + q has turning point when x = −3 and remainder of −6 when divided by (x + 2). Find the vale of q.

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

Answer: B (2)

Explanation

f′(x) = 2x + p = 0 at x = −3, so p = 6. f(−2) = 4 − 12 + q = −6, so q = 2.