(a)[5]
Express $f(x)$ as a sum of partial fractions.
(b)[5]
Hence obtain the expansion of $f(x)$ in ascending powers of $x$, including the term in $x^2$.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
Define $f(x)$ by $f(x) = \dfrac{3x^2 + x + 6}{(x + 2)(x^2 + 4)}$.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State, or make clear, the form $\dfrac{A}{x+2}+\dfrac{Bx+C}{x^2+4}$” …
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