(i)[5]
Express $\frac{9-7x+8x^2}{(3-x)(1+x^2)}$ as partial fractions.
(ii)[5]
Hence find the expansion of $\frac{9-7x+8x^2}{(3-x)(1+x^2)}$ in ascending powers of $x$, up to and including 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 or indicate the form $\dfrac{A}{3-x}+\dfrac{Bx+C}{1+x^2}$” …
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