(i)[5]
Write $\frac{4 + 12x + x^2}{(3 - x)(1 + 2x)^2}$ in partial fractions.
(ii)[5]
Hence find the expansion of $\frac{4 + 12x + x^2}{(3 - x)(1 + 2x)^2}$ in ascending powers of $x$, up to and including the $x^2$ term.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
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 that the partial fractions are in the form $\dfrac{A}{3-x}+\dfrac{B}{1+2x}+\dfrac{C}{(1+2x)^2}$” …
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