I have a question, I think it concerns with field theory.
Why the polynomial $$x^{p^n}-x+1$$ is irreducible in ${\mathbb{F}_p}$ only when $n=1$ or $n=p=2$?
Thanks in advance. It bothers me for several days.
I have a question, I think it concerns with field theory.
Why the polynomial $$x^{p^n}-x+1$$ is irreducible in ${\mathbb{F}_p}$ only when $n=1$ or $n=p=2$?
Thanks in advance. It bothers me for several days.