On 2017-09-19, Simon King <simon.k...@uni-jena.de> wrote:
> Since you explicitly ask about a factorisation of the form
> (1 + a*s + b*s^2)*(1 + c*s):

Sorry, I was stupid: Your polynomial is of degree 3 in s. Thus,
if a factorisation exists, then it is of the above form.

Anyway: From an Ansatz and comparison of coefficients, you get
equations for a,b,c. If you are lucky, they can be solved,
thus, you can express a,b,c in terms of the other variables
Cc, Cin,..., and then you are done.

Still, the question remains what kind of factorisation you'd accept:
One where a,b,c are polynomials in the other variables? Or
rational functions in the other variables? Is taking third roots
of polynomials/rational functions allowed?

Cheers,
Simon

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