0580 P41 - Nov 2015 - Q8 - 13 marks
15484
(a) Factorise \(x^2-3x-10\). [2]
(b(i)) Show \(\frac{x+2}{x+1}+\frac3x=3\) simplifies to \(2x^2-2x-3=0\). [3]
(b(ii)) Solve this quadratic, showing working and giving roots to 3 decimal places. [4]
(c) Simplify \(\frac{2x+3}{x+2}-\frac{x}{x+1}\). [4]