Show that if \(p\) is an odd prime, the polynomial \(x^{p^n}-x+1\) is irreducible over \(\mathbb {F}_p\) only when \(n=1\).
Question
Math 6310 • Algebra
Spring 2013 • Question 7
Question
Spring 2013 • Question 7
Show that if \(p\) is an odd prime, the polynomial \(x^{p^n}-x+1\) is irreducible over \(\mathbb {F}_p\) only when \(n=1\).