Let \( \mathrm{P}(\mathrm{x})=\mathrm{x}^{5}+\mathrm{x}^{2}+1 \) ha...

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Let \( \mathrm{P}(\mathrm{x})=\mathrm{x}^{5}+\mathrm{x}^{2}+1 \) have zeros \( \alpha_{1}, \alpha_{2}, \alpha_{3}, \alpha_{4}, \alpha_{5} \) and \( \mathrm{Q}(\mathrm{x})=\mathrm{x}^{2}-2 \), then find
\( \mathrm{P} \)
\[
\prod_{1=1}^{5} Q\left(\alpha_{i}\right)
\]
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