(a)[5]
Express $f(x)$ in partial-fraction form.
(b)[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 $f(x)$ by $f(x) = \dfrac{5x^2 + 8x - 3}{(x - 2)(2x^2 + 3)}$.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State or show the partial fractions form $\frac{A}{x-2}+\frac{Bx+C}{2x^2+3}$” …
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