9709 P31 - Nov 2022 - Q10
2080
Let \(f(x) = \frac{2x^2 + 7x + 8}{(1+x)(2+x)^2}\).
(a) Express \(f(x)\) in partial fractions.
(b) 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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