(a)[5]
Express $f(x)$ as partial fractions.
(b)[5]
Hence obtain the expansion of $f(x)$ in ascending powers of $x$, including terms up to and including $x^2$.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
Suppose $f(x) = \dfrac{2x^2 + 7x + 8}{(1 + x)(2 + x)^2}$.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State, or clearly imply, the form $\dfrac{A}{1+x} + \dfrac{B}{2+x} + \dfrac{C}{(2+x)^2}$” …
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