Mathematics 9709 · AS & A Level · Algebra

Algebra — practice question

Define $f(x) = \dfrac{8 + 5x + 12x^2}{(1 - x)(2 + 3x)^2}$.
(a)[5]

Write $f(x)$ in partial fractions.

(b)[5]

Hence determine the expansion of $f(x)$ in ascending powers of $x$, up to and including the term in $x^2$.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: State the partial fractions form, or make it implicit

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