roots of $X^{p-1} -1$ in $\Bbb Q_p$

Question

I don't know whether the Number of distinct roots of $X^{p-1} -1$ in $\Bbb Q_p$ is less or equal than $p-1$.

By a quick search I saw that $\Bbb Q_p$ is not algebraically closed so I can't really conclude.

Thank you for any help or reference on this subject.