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WAEC Further Mathematics 2016 Question 15

Question 15

Binomial Theorem

Find the coefficient of x3 in the expansion of [⅓(2 + x)]6.

  1. A.135/729
  2. B.149/729
  3. C.152/729
  4. D.160/729
Show the answer and explanation

Answer: D (160/729)

Explanation

(1/729)(2 + x)⁶; the x³ term of (2 + x)⁶ is ⁶C₃ × 2³ = 160. Coefficient 160/729.