(a(i))[2]
Show that the equation $y = (x - 4)(x + 1)(x - 2)$ can be expressed as $y = x^3 - 5x^2 + 2x + 8$.
(a(ii))[4]
On the diagram, draw the graph of $y = x^3 - 5x^2 + 2x + 8$, showing the points where it crosses the axes.
(b)[7]
Find the equations of these two tangents. You should show all working and give your answers in the form $y = mx + c$.