Find the coefficient of \(x^{4}\) in the binomial expansion of \((2 + x)^{6}\).
FURTHER MATHEMATICS
WAEC 2009
Find the coefficient of \(x^{4}\) in the binomial expansion of \((2 + x)^{6}\).
- A. 120
- B. 80
- C. 60
- D. 15
Correct Answer: C. 60
Explanation
\((2 + x)^{6} \)
\(x^{4} = ^{6}C_{2}(2^{2})(x^{4}) = 15 \times 4 = 60\)
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