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WAEC Further Mathematics 2008 Question 7

Question 7

Polynomials

The polynomial 2x3 + x2 − 3x + p has a remainder 20 when divided by (x − 2). Find the value of constant p.

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

Answer: B (6)

Explanation

By the remainder theorem f(2) = 16 + 4 − 6 + p = 14 + p = 20, so p = 6.