(i)[5]
Express $\frac{5x - x^2}{(1 + x)(2 + x^2)}$ as partial fractions.
(ii)[5]
Hence obtain the expansion of $\frac{5x - x^2}{(1 + x)(2 + x^2)}$ in ascending powers of $x$, through the term in $x^3$.
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 the partial-fraction form as $\frac{A}{1+x} + \frac{Bx+C}{2+x^2}$” …
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