(i)[5]
Rewrite $f(x)$ in partial fractions.
(ii)[5]
Hence deduce the expansion of $f(x)$ in ascending powers of $x$, up to and including the term in $x^3.$
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
Define $f(x) = \frac{3x}{(1 + x)(1 + 2x^2)}.$
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 form $\dfrac{A}{1+x}+\dfrac{Bx+C}{1+2x^2}$” …
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