10. (a) On the same axes sketch the graphs of the curves with equations
- \(y = x ^ { 2 } ( x - 2 )\),
- \(y = x ( 6 - x )\),
and indicate on your sketches the coordinates of all the points where the curves cross the \(x\)-axis.
(b) Use algebra to find the coordinates of the points where the graphs intersect.