(i)[5]
Write $f(x)$ as partial fractions.
(ii)[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 $f(x) = \dfrac{12x^2 + 4x - 1}{(x - 1)(3x + 2)}$.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State, or clearly indicate, the form $A+\dfrac{B}{x-1}+\dfrac{C}{3x+2}$” …
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