CAPE Pure Mathematics Unit 2 · May/June 2015 · Paper 1 · Question Q12

The partial fractions of \frac{x + 3}{(2x + 5)(x - 1)^2} may be expressed in the form

1. (A)\frac{P}{2x + 5} + \frac{Q}{(x - 1)^2}
2. (B)\frac{Px}{2x + 5} + \frac{Q + R}{(x - 1)^2}
3. (C)\frac{Px}{2x + 5} + \frac{Q}{x - 1} + \frac{Rx}{(x - 1)^2}
4. (D)\frac{P}{2x + 5} + \frac{Q}{x - 1} + \frac{R}{(x - 1)^2}