Zeros of adjoint polynomials of paths and cycles

The chromatic polynomial of a simple graph G with n > 0 vertices is a polynomial Σk=1α(G, k)(x)k of degree n, where (x)k = x(x− 1) . . . (x− k+1) and α(G, k) is real for all k. The adjoint polynomial of G is defined to be Σk=1α(G, k)μ , where G is the complement of G. We find the zeros of the adjoint polynomials of paths and cycles.