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Algebra Level 4

\[ \large ({x}_{1}^{2}+2)({x}_{2}^{2}+2)\cdots ({x}_{5}^{2}+2) \]

If \( {x}^{5}+x+1=0 \) has 5 roots \( {x}_{1},{x}_{2},{x}_{3},{x}_{4},x_{5} \). Find the value of the expression above.

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