A certain Laplace transforme is given by:G(s) = (s^3 + 12,3*s^2 + 50,4*s + 66)/ (s^4 + 19*s^3 + 122*s^2 + 296*s + 192) Use a numerical method to factor G in the form:G(s)...

A certain Laplace transforme is given by:G(s) = (s^3 + 12,3*s^2 + 50,4*s + 66)/ (s^4 + 19*s^3 + 122*s^2 + 296*s + 192)
Use a numerical method to factor G in the form:G(s) =(s+a1)*(s+a2)*(s+a3)/(s+b1)*(s+b2)*(s+b3)*(s+b4)
Determine ai and bi, with a relative error lower than 10^-6