Question 2
Given $x^4+x^3+x^2+x+1=0$, find $x^{2021}-x$.
**Domain convention:** Treat $x$ as an algebraic root, allowing complex numbers. The equation has no real root. You do not need to find the roots or perform calculations with complex numbers; use a polynomial identity. Enter the resulting number only.
**Domain convention:** Treat $x$ as an algebraic root, allowing complex numbers. The equation has no real root. You do not need to find the roots or perform calculations with complex numbers; use a polynomial identity. Enter the resulting number only.