If \( \alpha, \beta, \gamma \) are the roots of \( x^{3}+a x^{2}+b=...
If \( \alpha, \beta, \gamma \) are the roots of \( x^{3}+a x^{2}+b=0 \), then the determinant \( \Delta \), where
\[
\Delta=\left|\begin{array}{lll}
\alpha & \beta & \gamma \\
\beta & \gamma & \alpha \\
\gamma & \alpha & \beta
\end{array}\right| \text { equals }
\]
(a) \( -a^{3} \)
(b) \( a^{3}-3 b \) (c) \( a^{2}-3 b \) (d) \( a^{3} \)
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