(i)[5]
Write $f(x)$ in partial fractions.
(ii)[5]
Hence find the expansion of $f(x)$ in ascending powers of $x$, up to and including the $x^3$ term.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
Take $f(x) = \frac{3x}{(1 + x)(1 + 2x^2)}$.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State or indicate the partial fraction structure $\frac{A}{1+x}+\frac{Bx+C}{1+2x^2}$” …
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