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WAEC Further Mathematics 2014 Question 25

Question 25

Binomial Theorem

Find the coefficient of x3 in the binomial expansion of (3x + 4)4 in ascending powers of x.

  1. A.432
  2. B.194
  3. C.144
  4. D.108
Show the answer and explanation

Answer: A (432)

Explanation

Term in x³: ⁴C₃ × 4 × (3x)³ = 4 × 4 × 27x³ = 432x³.