Hi Simon,

Thank you for your answer, I will try the Ansatz and comparison of 
coefficients.
To find coefficients a, b, and c I tried to solve a system of three 
equations but unfortunately it doesn't work. The system is depicted below:
eq1 = a + b == Rl*Rs*Cc*gm + Rc*Cc + Rl*Cc + Rl*Cl + Rs*Cc + Rs*Cin
eq2 = c + a*b == Rc*Rl*Cc*Cl + Rc*Rs*Cc*Cin + Rs*Rl*Cc*Cin + Rs*Rl*Cc*Cl + 
Rs*Rl*Cin*Cl
eq3 = a*c == Rc*Rl*Rs*Cc*Cin*Cl
solve([eq1,eq2,eq3],a,b,c)
Here is the result given by SAGE:
sage: []
Why this systen doesn't work ?

Regards,
Yann

Le mardi 19 septembre 2017 10:23:07 UTC+2, Yann Cargouet a écrit :
>
> Hi everybody,
>
> I would like to factorize a polynomial function of third degree in order 
> to obtain the following form:
> (1 + a*s + b*s^2)*(1 + c*s).
>
> Here my test case:
>
> When I use the factor() function there is no change on the expression. 
> Which function I have to use to obtain the wanted simplication ?
>
> all my variables are defined with the command var('Cc, Cin,...)
>
> Thanks in advance for your answers
> Yann
>

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