JAMB Mathematics 2001 Question 11

Question 11

Polynomials

Divide a3x − 26a2x + 156ax − 216 by a2x − 24ax + 108

  1. A.ax − 18
  2. B.ax − 6
  3. C.ax − 2
  4. D.ax + 2
Show the answer and explanation

Answer: C (ax − 2)

Explanation

Let u = ax. Then (u − 2)(u2 − 24u + 108) = u3 − 26u2 + 156u − 216, so the quotient is ax − 2.