1. Consider the transfer function model: G(s)=s4+10s3+35s2+74s+120(s+10) (a 10 pts.) Calculate poles and zeros of this transfer function. You can use Matlab to factorize the denominator. (b 10 pts.) Approximate this high-order model by a second-order plus time delay model G1(s), and use MATLAB to show the step response of G(s) and G1(s). (Note: Using the first method. G1(s) should have two poles and no zeros)