WAEC Further Mathematics 2007 Question 11

Question 11

Binomial Theorem

Find the fourth term of the binomial expansion of (x − k)5 in descending powers of x.

  1. A.10x2k3
  2. B.5x3k2
  3. C.−5x3k2
  4. D.−10x2k3
Show the answer and explanation

Answer: D (−10x2k3)

Explanation

The fourth term is ⁵C₃ x²(−k)³ = 10x²(−k³) = −10x²k³.