9709 P33 - Jun 2016 - Q10
2059
Let \(f(x) = \frac{10x - 2x^2}{(x+3)(x-1)^2}\).
(i) Express \(f(x)\) in partial fractions.
(ii) Hence obtain the expansion of \(f(x)\) in ascending powers of \(x\), up to and including the term in \(x^2\).
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