Mathematics 9709 · AS & A Level · Algebra

Algebra — practice question

(a)[5]

Express $\frac{12x^2 + 55x - 2}{(3x - 2)(x + 6)}$ as a sum of partial fractions.

(b)[4]

Hence obtain the series for $\frac{12x^2 + 55x - 2}{(3x - 2)(x + 6)}$ in ascending powers of $x$, up to and including the term in $x^2$.

Worked solution & mark scheme

This 9-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State or show the correct partial fraction form” …