Complex Roots

Algebra Level 4

If \(\alpha ,\beta ,\gamma ,\delta \) are the roots of the equation \({ x }^{ 4 }+{ x }^{ 3 }+{ x }^{ 2 }+{ x }+1=0 \), find the value of \((1-\alpha )(1-\beta )(1-\gamma )(1-\delta ) \).

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