9709 P32 - Mar 2019 - Q8
2051
Let \(f(x) = \frac{12 + 12x - 4x^2}{(2+x)(3-2x)}\).
(i) Express \(f(x)\) in partial fractions. [5]
(ii) Hence obtain the expansion of \(f(x)\) in ascending powers of \(x\), up to and including the term in \(x^2\). [5]
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