9709 P12 - Nov 2021 - Q8
1006
(a) It is given that in the expansion of \((4 + 2x)(2 - ax)^5\), the coefficient of \(x^2\) is \(-15\). Find the possible values of \(a\).
(b) It is given instead that in the expansion of \((4 + 2x)(2 - ax)^5\), the coefficient of \(x^2\) is \(k\). It is also given that there is only one value of \(a\) which leads to this value of \(k\). Find the values of \(k\) and \(a\).
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