- In this question you must show all stages of your working. Solutions relying on calculator technology are not acceptable.
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
$$( \alpha + 2 ) ( \beta + 2 ) ( \gamma + 2 )$$