(a)[5]
Express $f(x)$ in partial fractions form.
(b)[5]
Hence obtain 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 $f(x) = \dfrac{2 + 11x - 10x^2}{(1 + 2x)(1 - 2x)(2 + x)}$.
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 by implication, $\dfrac{A}{1+2x} + \dfrac{B}{1-2x} + \dfrac{C}{2+x}$” …
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