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WAEC Mathematics 2014 Question 18

Question 18

Polynomials

If (x − a) is a factor of bx − ax + x2 − ab, find the other factor.

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

Answer: A ((x + b))

Explanation

x2 + bx − ax − ab = x(x + b) − a(x + b) = (x − a)(x + b).