Prove that \(\Phi _{2^n}(x)=x^{2^{n-1}}+1\) is irreducible in \(\mathbb {Q}[x]\).
Question
Math 6310 • Algebra
Spring 2008 • Question 8
Question
Spring 2008 • Question 8
Prove that \(\Phi _{2^n}(x)=x^{2^{n-1}}+1\) is irreducible in \(\mathbb {Q}[x]\).