how are you?.
I'm trying to create a function that calculates the z-transform of a transfer function using the residues method but for that, I need the factors of the characteristic equation and the powers of the factors, so, in order to do that I tried to factorize polynomials with non-integer coefficients but after trying everything that I read I couldn't factorize make maxima to factorize those polynomials the way I need it.
For giving an example, I have this characteristic equation: "s·(s^2+0.1·s)", the factors should be "s^2" and "s + 0.1" but maxima allways gives me "(s^2·(10·s + 1))/10".
Why I'm signalling this?, well, as I learned that maxima treates the outputs equation as list so I can have its dimension and separate the factos by its positions in the list to measure the powers of the factors and do what I need, but like maxima gives me the result that is shown above then the dimension of the list is different and it will make my function to work differently and possibly have errors.
The result that is shown is given by maxima no matter if I use factor, gfactor, or expand or whatever other function that I found and I know that result is because maxima are rationalizing the polynomial before working with it but I don't need that behavior, I only need the pure factors, so, how can I have the result that I want?.
Thanks in advance for the help.
