(i)[5]
Write $f(x)$ in partial fractions.
(ii)[5]
Hence determine 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 $f(x) = \frac{4x^2 + 12}{(x + 1)(x - 3)^2}$.
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 $\frac{A}{x+1}+\frac{B}{x-3}+\frac{C}{(x-3)^2}$” …
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