UI Post-UTME Mathematics 2014 Question 18

Question 18

Polynomials

Which of the following is a facor of p(x) = ax3 − bx2 + bx − a

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

Answer: B (x − 1)

Explanation

p(1) = a − b + b − a = 0, so x − 1 is a factor.