Perform the following calculations in MATLAB using the polyn

Perform the following calculations in MATLAB using the polynomials

p1=x^3+3x^2+3x+1

p2=x^2+3x+1

Find the roots of each Find the derivatives and integrals of each (do not just report the coefficients; show the whole answer)

Add, subtract, and multiply the two polynomials together (do not just report the coefficients; show the whole answer)

Find the derivatives and integrals of each (do not just report the coefficients; show the whole answer)

Divide p2 by p1 (construct the polynomial from the coefficients given)

Solution

use the following post .. please comment for any clarification.

-----------------------------------------------------------------------------

clc;
close all;
clear all;

syms x;

%% function definition %%
p1 = x^3+3*x^2+3*x+1;

p2 = x^2+3*x+1;

%% part 1 operations %%

disp(\'solution of p1\');

solve(p1==0)

disp(\'solution of p2\');

solve(p2==0)

disp(\'differential of p1\');

diff(p1)

disp(\'differential of p2\');

diff(p2)

disp(\'integral of p1\');

int(p1)

disp(\'integral of p2\');

int(p2)

%% part 2 operations %%

disp(\'sum of p1 and p2 \');

p1+p2

disp(\'subtraction of p2\');

p1-p2

disp(\'multilication of p1\');

expand(p1*p2)