5 The equation \(x ^ { 3 } + p x ^ { 2 } + q x + r = 0\) has roots \(\alpha , \beta\) and \(\gamma\), where
$$\begin{aligned}
\alpha + \beta + \gamma & = 3
\alpha \beta \gamma & = - 7
\alpha ^ { 2 } + \beta ^ { 2 } + \gamma ^ { 2 } & = 13
\end{aligned}$$
- Write down the values of \(p\) and \(r\).
- Find the value of \(q\).