9709 P32 - Jun 2015 - Q8
2062
Let \(f(x) = \frac{5x^2 + x + 6}{(3 - 2x)(x^2 + 4)}\).
(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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