9709 P32 - Jun 2017 - Q8
2056
Let \(f(x) = \frac{5x^2 - 7x + 4}{(3x + 2)(x^2 + 5)}\).
(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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