Let x(n), 0 ≤ n ≤ N-1. be a finite-duration sequence, which is also real-valued and even...

Let x(n), 0 ≤ n ≤ N-1. be a finite-duration sequence, which is also real-valued and even. Show that the zeros .of the polynomial X(z) occur in mirror-image pairs about the unit circle. That is, if is a zero of X (z) , then is also a zero.