Using symbolic variables, how do you expand polynomials to show complex roots in an equation
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This is my code:
clc; clear; close all;
syms s
Num = 10^4*(s+5)*(s+70);
Den = s*(s+45)*(s+55)*(s^2+7*s+110)*(s^2+6*s+95);
F = Num/Den
h=vpa(partfrac(F,s),5);
pretty(h)
and this is my output:
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/740089/image.png)
How do I output it so that that the polynomials are also factored such that:
![](https://www.mathworks.com/matlabcentral/answers/uploaded_files/740094/image.png)
and also, how do i Output all my roots?
thank you so much in advance
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Accepted Answer
Robert U
on 16 Sep 2021
Hi bob,
I guess it's a transfer function and you are looking for poles and zeros.
syms s
Num = 10^4*(s+5)*(s+70);
Den = s*(s+45)*(s+55)*(s^2+7*s+110)*(s^2+6*s+95);
F = Num/Den;
h=vpa(partfrac(F,s,'FactorMode','complex'),5); % get complex parts of fraction
pretty(h)
rootsNum = solve(h,s); % calculate actual roots for the rational function
rootsDenum = solve(simplify(1/h),s); % calculate roots for the denumerator
rootsNum
rootsDenum
Kind regards,
Robert
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