Question

If $\alpha, \beta, \gamma, \delta$ are the roots of the equation $x ^4+ x ^3+ x ^2+ x +1=0$, then $\alpha^{2021}+\beta^{2021}+\gamma^{2021}+\delta^{2021}$ is equal to

• A. $-4$
• B. $-1$
• C. 1
• D. 4

Answer 1

Answer: (B)

$-1$

Answer 2

The equation is equal to -1.
Therefore, The correct option is (B): -1