If the polynomial \[ p(x) = \alpha + \beta (x+2) + \gamma (x+2)(x+1) + \delta (x+2)(x+1)x \] interpolates the data \[ \begin{array}{|c|c|} \hline x & f(x) \\ \hline -2 & 2 \\ -1 & -1 \\ 0 & 8 \\ 1 & 5 \\ 2 & -34 \\ \hline \end{array} \] then \( \alpha + \beta + \gamma + \delta = \underline{\hspace{1cm}}\) .
If the polynomial \[ p(x) = \alpha + \beta (x+2) + \gamma (x+2)(x+1) + \delta (x+2)(x+1)x \] interpolates the data \[ \begin{array}{|c|c|} \hline x & f(x) \\ \hline -2 & 2 \\ -1 & -1 \\ 0 & 8 \\ 1 & 5 \\ 2 & -34 \\ \hline \end{array} \] then \( \alpha + \beta + \gamma + \delta = \underline{\hspace{1cm}}\) .
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