(a)[5]
Write $f(x)$ as a sum of 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
Define $f(x)$ by $f(x) = \dfrac{8 + 5x + 12x^2}{(1 - x)(2 + 3x)^2}$.