(i)[5]
Write $f(x)$ as partial fractions.
(ii)[5]
Hence find the expansion of $f(x)$ in ascending powers of $x$, up to and including the term in $x^2$.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
Define $f(x)$ by $\frac{2x^2 - 7x - 1}{(x - 2)(x^2 + 3)}$.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State or use partial fractions in the form $\frac{A}{x-2}+\frac{Bx+C}{x^2+3}$” …
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