10. (a) On the axes below, sketch the graphs of
- \(y = x ( x + 2 ) ( 3 - x )\)
- \(y = - \frac { 2 } { x }\)
showing clearly the coordinates of all the points where the curves cross the coordinate axes.
(b) Using your sketch state, giving a reason, the number of real solutions to the equation
$$x ( x + 2 ) ( 3 - x ) + \frac { 2 } { x } = 0$$
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