9709/Oct Nov/2005/3/Q9

(i)  Express (3x^2 + x) / (x + 2)(x^2 + 1) in partial fractions.
(ii) Hence obtain the expansion of (3x^2 + x) / (x + 2)(x^2 + 1) in ascending powers of x, up to and including the term in x^3.

Solution:

Reference: PYQ - Oct/Nov 2005 Paper 3 Q9