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WAEC Further Mathematics 2021 Question 10

Question 10

Polynomials

If f(x) = 4x3 + px2 + 7x − 23 is divided by (2x − 5), the remainder is 7. Find value of p.

  1. A.−7.0
  2. B.−8.0
  3. C.−9.6
  4. D.−10.2
Show the answer and explanation

Answer: B (−8.0)

Explanation

f(5/2) = 62.5 + 6.25p + 17.5 − 23 = 57 + 6.25p = 7, so p = −8.