Mathematics 9709 · AS & A Level · Algebra

Algebra — practice question

Consider $f(x) = \dfrac{21 - 8x - 2x^2}{(1 + 2x)(3 - x)^2}$.
(a)[5]

Decompose $f(x)$ into partial fractions.

(b)[5]

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

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State, or make clear, the partial fraction structure” …

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