I JUST NEED code and explanation FOR PROBLEM 3

Objectives To learn to use MATLAB to (1) generate polynomials, (2) manipulate polynomials, (3) generate transfer functions, (4) manipulate transfer functions, and (5) perform partial-fraction expansions. Minimum Required Software Packages MATLAB and the Control System Toolbox Prelab Calculate the following by using MATLAB a. The roots of P: _1 = s^6 + 7s^5 + 2s^4 + 9s^3 + 10s^2 + 12s + 15 b. The roots of P_2 = s^6 + 9s^5 + 8s^4 + 9s^3 + 12s^2 + 15s + 20 c. P_3 = P_1 + P_2: P_4 = P_1 - P_2: P_5 = P_1P_2 Calculate by using MATLAB P_6 = (s + 7) (s + 8) (s + 3) (s + 5) (s + 9) (s + 10) Calculate by using MATLAB the following transfer functions: a. G_1 (s) = 20(s + 2) (s + 3) (s + 6) (s + 8)/s(s + 7) (s + 9) (s + 10) (s + 15) represented as a numerator polynomial divided by a denominator polynomial. b. G_2 (s) = s^4 + 17s^3 + 99s^2 + 223s + 140/s^5 + 32s^4 + 363s^3 + 2092s^2 + 5052s + 4320, expressed as factors in the numerator divided by factors in the denominator. similar to the form of G_1(s) in Prelab 3a