Define $f(x) = \dfrac{17x^2 - 7x + 16}{(2 + 3x^2)(2 - x)}$.
(a)[5]
Express $f(x)$ as a sum of partial fractions.
(b)[5]
Hence determine the expansion of $f(x)$ in ascending powers of $x$, up to and including the term in $x^3$.
(c)[1]
State the set of $x$ values for which the expansion in (b) is valid. Give your answer exactly.
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This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State the correct partial fraction form.” …
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