# Tricky Quartic!

Algebra Level 4

$(x^{2}+3x + 7)(x^{2}+5x+2)=0$ If $$\alpha$$, $$\beta$$, $$\gamma$$, and $$\delta$$ are the roots of equation above, then find $(\alpha ^{2}+1)(\beta ^{2}+1)(\gamma ^{2}+1)(\delta ^{2}+1).$

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