- The roots of the equation
$$x ^ { 3 } - 8 x ^ { 2 } + 28 x - 32 = 0$$
are \(\alpha , \beta\) and \(\gamma\)
Without solving the equation, find the value of
- \(\frac { 1 } { \alpha } + \frac { 1 } { \beta } + \frac { 1 } { \gamma }\)
- \(( \alpha + 2 ) ( \beta + 2 ) ( \gamma + 2 )\)
- \(\alpha ^ { 2 } + \beta ^ { 2 } + \gamma ^ { 2 }\)