Prove: $z^{12}+3z^8+101z^4+1$ has a root on the unit circle
It is easy to see that there are no roots on the boundary of the circle. Moreover, the product of the roots is $1$. How can this be?
It is easy to see that there are no roots on the boundary of the circle. Moreover, the product of the roots is $1$. How can this be?