(a(i))[5]
Express $f(x)$ as a sum of partial fractions.
(a(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 $f(x) = \frac{10x - 2x^2}{(x + 3)(x - 1)^2}$.
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 the structure $\dfrac{A}{x+3}+\dfrac{B}{x-1}+\dfrac{C}{(x-1)^2}$” …
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