(i)[5]
Express $f(x)$ as partial fractions.
(ii)[5]
Hence find 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 $f(x) = \frac{2x(5 - x)}{(3 + x)(1 - x)^2}$.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State or indicate the form $\dfrac{A}{3+x}+\dfrac{B}{1-x}+\dfrac{C}{(1-x)^2}$” …
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