- Given that
$$2 z ^ { 3 } - 5 z ^ { 2 } + 7 z - 6 \equiv ( 2 z - 3 ) \left( z ^ { 2 } + a z + b \right)$$
where \(a\) and \(b\) are real constants,
- find the value of \(a\) and the value of \(b\).
- Given that \(z\) is a complex number, find the three exact roots of the equation
$$2 z ^ { 3 } - 5 z ^ { 2 } + 7 z - 6 = 0$$