Question

In control engineering, G(z)=(K(3z3+2))/(z4 + Kz + 1).The poles of the system occur where the denominator of the transfer function is zero, that is z4 + Kz + 1 = 0. The zeros of the system occur where the numerator of the transfer function is zero, namely 3z3 + 2 = 0. Using MATLAB and the value of K=1/2, find the poles and zeros of the system