(a)[5]
Write $f(x)$ as partial fractions.
(b)[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
Take $f(x) = \dfrac{14 - 3x + 2x^2}{(2 + x)(3 + x^2)}$.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Give or indicate partial fractions in the form $\frac{A}{x+2}+\frac{B+Cx}{x^2+3}$” …
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