2025 Tanjong Katong Secondary School Prelims A Math Paper 1
Write down and simplify the first three terms in the expansion, in ascending powers of \(x\), of \(\left(2-\frac{x}{4}\right)^5\).[3]
In the expansion of \(\left(4+kx+x^2\right)\left(2-\frac{x}{4}\right)^5\), the sum of the coefficients of \(x\) and \(x^2\) is \(-4\). Find the value of the constant \(k\).[4]
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