If $\alpha, \beta, \gamma$ are the zeroes of $4x^3 + 8x^2 - 6x - 2$, then the value of $\alpha\beta + \beta\gamma + \gamma\alpha$ is _____.
Show Hint
For any cubic polynomial:
\[
ax^3+bx^2+cx+d
\]
always remember:
\[
\alpha+\beta+\gamma=-\frac{b}{a}
\]
\[
\alpha\beta+\beta\gamma+\gamma\alpha=\frac{c}{a}
\]
\[
\alpha\beta\gamma=-\frac{d}{a}
\]
The sign pattern is very important in exams, so memorize it carefully.