Problem of polynomials – math.stackexchange.com

Problem of polynomials – math.stackexchange.com

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Let $\alpha$, $\beta$, $\gamma$, $\delta$ be the roots of $$z^4-2z^3+z^2+z-7=0$$ then find value of $$(\alpha^2+1)(\beta^2+1)(\gamma^2+1)(\delta^2+1)$$ I tried taking some common terms from the ...

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