mathmari
Gold Member
MHB
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Hey! 
I need some help at the following exercise:
Show that the polynomial $f(x)=x^n+1 \in \mathbb{Q}[x]$ is irreducible if and only if $n=2^k$ for some integer $k \geq 0$.
Could you give me some hints what I could do?? (Wondering)

I need some help at the following exercise:
Show that the polynomial $f(x)=x^n+1 \in \mathbb{Q}[x]$ is irreducible if and only if $n=2^k$ for some integer $k \geq 0$.
Could you give me some hints what I could do?? (Wondering)