(a)[5]
Write $f(x)$ as partial fractions.
(b)[4]
Hence determine the coefficient of $x^3$ in the expansion of $f(x)$.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
Define $f(x) = \dfrac{5x^2 + 8x + 5}{(1 + 2x)(2 + x^2)}$.
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This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Give or indicate the form $\dfrac A{1+2x}+\dfrac{Bx+C}{2+x^2}$.” …
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