(i)[5]
Rewrite $\frac{4 + 5x - x^2}{(1 - 2x)(2 + x)^2}$ as a partial fraction decomposition.
(ii)[5]
Hence find the expansion of $\frac{4 + 5x - x^2}{(1 - 2x)(2 + x)^2}$ as a series in ascending powers of $x$, up to and including the $x^2$ term.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Give or suggest partial fractions in the form $\frac{A}{1-2x}+\frac{B}{2+x}+\frac{C}{(2+x)^2}$” …
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