(a)[3]
Express $f(x)$ as partial fractions.
(b)[4]
Hence obtain the expansion of $f(x)$ in ascending powers of $x$, up to and including the $x^2$ term.
(c)[1]
State the values of $x$ for which the expansion in part (b) is valid.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
Let $f(x)$ be given by $\frac{7a^2}{(a - 2x)(3a + x)}$, where $a$ is a positive constant.