Total number of maximal ideal in the quotient ring $\frac{\mathbb Q[x]}{x^4-1}$ We have $\mathbb Q[x]$ be the ring of polynomial over $\mathbb Q$, then total number of maximal ideal in the quotient ring $\frac{\mathbb Q[x]}{x^4-1}$ is $2$ because $i$ and $-i$ are not in $\mathbb Q$. is it correct $?$.Thanlk you

The number is 3: 
corresponding to the irreducible factors $x+1, x-1$ and $x^2+1$  of $x^4-1$.
