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WAEC Further Mathematics 2025 Objective — Question 27

Question 27 of 40 from the West African Examinations Council (WAEC) Further Mathematics 2025 Objective paper, with the correct answer and a full explanation.

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

  • A. -4375 m⁴Correct
  • B. -4375 m³
  • C. -1275 m⁴
  • D. -1275 m³

Explanation

The term with x³ is C(7,3) m⁴(-5x)³ = 35 × m⁴ × (-125x³) = -4375 m⁴x³, so the coefficient is -4375 m⁴.

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