(a)[6]
Express $f(x)$ using partial fractions.
(b)[5]
Hence derive 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 $f(x) = \frac{x^3 + 2x - 11}{(3 + x)(2 + x^2)}$.
Worked solution & mark scheme
This 11-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State or indicate the form $A+\frac{B}{3+x}+\frac{Cx+D}{2+x^2}$” …
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