WAEC Further Mathematics 2011 Question 23

Question 23

Binomial Theorem

Determine the coefficient of x2 in the expansion of (a + 3x)6.

  1. A.18a2
  2. B.45a4
  3. C.135a4
  4. D.1215a2
Show the answer and explanation

Answer: C (135a4)

Explanation

The x2 term is 6C2a4(3x)2 = 15 × 9a4x2, so the coefficient is 135a4.