WAEC Further Mathematics 2025 Question 27

Question 27

Binomial Theorem

Find the coefficient of x3 in the binomial expansion of (m − 5x)7

  1. A.−4375m4
  2. B.−4375m3
  3. C.−1275m4
  4. D.−1275m3
Show the answer and explanation

Answer: A (−4375m4)

Explanation

The x³ term is ⁷C₃ m⁴(−5x)³ = 35 × (−125)m⁴x³ = −4375m⁴x³.