(a)[2]
Factorise $x^2 - 3x - 10$.
(b(i))[3]
Show that $\frac{x + 2}{x + 1} + \frac{3}{x} = 3$ can be rewritten as $2x^2 - 2x - 3 = 0$.
(b(ii))[4]
Solve $2x^2 - 2x - 3 = 0$. Give your answers correct to 3 decimal places. Show all your working.
(c)[4]
Simplify $\frac{2x + 3}{x + 2} - \frac{x}{x + 1}$.