(i)[5]
Find the partial fractions decomposition of $f(x)$.
(ii)[5]
Hence find 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
Define $f(x) = \dfrac{7x^{2} - 15x + 8}{(1 - 2x)(2 - x)^{2}}$.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Give or indicate the form $\frac{A}{1-2x}+\frac{B}{2-x}+\frac{C}{(2-x)^2}$.” …
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