(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
Consider $f(x) = \frac{5x^2 + x + 6}{(3 - 2x)(x^2 + 4)}$.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State or imply the form $\frac{A}{3-2x}+\frac{Bx+C}{x^2+4}$” …
- Full mark scheme, point by point
- Step-by-step worked solution
- Write your answer & get it marked instantly by AI