(i)[5]
Express $f(x)$ as a partial fraction decomposition.
(ii)[5]
Hence obtain the expansion of $f(x)$ in ascending powers of $x$, up to and including the term in $x^2$.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
Take $f(x) = \frac{x^2 - 8x + 9}{(1 - x)(2 - x)^2}$.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State or imply that the form is $\frac{A}{1-x}+\frac{B}{2-x}+\frac{C}{(2-x)^2}$” …
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