WAEC Mathematics 2000 Question 31

Question 31

Polynomials

Given that (2x + 7) is a factor of 2x2 + 3x − 14, find the other factor.

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

Answer: C (x − 2)

Explanation

(2x + 7)(x − 2) = 2x2 − 4x + 7x − 14 = 2x2 + 3x − 14.