partfrac() function returning same expression

syms s
% Given expression
F = partfrac((s^2+2*s+1)/(s^3-5*s+3),s)

F = 

The output is as follows.

F =

(s^2 + 2*s + 1)/(s^3 - 5*s + 3)

I know syms has a big part to do with it but im not sure exactly what.

Answer 1

[Dyuman Joshi]

It gives the same expression as the output because the denominator can not be decomposed with the default factor format i.e. 'rational'.

You can specify a 'full' or 'real' factor mode but the output might not be easy to look at -

syms s
F1 = partfrac((s^2+2*s+1)/(s^3-5*s+3),s,'FactorMode','real')

F1 = 

F2 = partfrac((s^2+2*s+1)/(s^3-5*s+3),s,'FactorMode','full')

F2 = 

vpa(F2)

ans = 

[Esteban]

Thank you. When I attempted I did try full but like you said the output was a bit crazy. Is there any way to format the ouput short ? for the factor format real?

[Dyuman Joshi]

I assume you mean to show the output with 4 significant digits -

syms s
F = partfrac((s^2+2*s+1)/(s^3-5*s+3),s,'FactorMode','full')

F = 

vpa(F, 4)

ans = 

[Dyuman Joshi]

Any updates, @Esteban?