7 A curve has equation \(y = ( x + 2 ) \left( x ^ { 2 } - 3 x + 5 \right)\).
- Find the coordinates of the minimum point, justifying that it is a minimum.
- Calculate the discriminant of \(x ^ { 2 } - 3 x + 5\).
- Explain why \(( x + 2 ) \left( x ^ { 2 } - 3 x + 5 \right)\) is always positive for \(x > - 2\).