- #1
royzizzle
- 50
- 0
if we are given a polynomial s^6+as^5+bs^4+cs^3+ds^2+es+k
(if a,b,c,d are known) what is a clever method to solving for the value k if we are given the following:
the above polynomial is equal to the following(zeta is given as some constant, say 1 for simplicity):
(s+alpha)(s+beta)(s+gamma)(s+lamda)(s^2+2w*zeta*s+w^2)
we would have to multiply out this expression that separate out coefficients for s and equation to a,b,c, and d
we then have a system of 6 nonlinear equations to solve for 6 unknowns
what is the fastest way to do this by hand within a 20 minute timeframe?
(if a,b,c,d are known) what is a clever method to solving for the value k if we are given the following:
the above polynomial is equal to the following(zeta is given as some constant, say 1 for simplicity):
(s+alpha)(s+beta)(s+gamma)(s+lamda)(s^2+2w*zeta*s+w^2)
we would have to multiply out this expression that separate out coefficients for s and equation to a,b,c, and d
we then have a system of 6 nonlinear equations to solve for 6 unknowns
what is the fastest way to do this by hand within a 20 minute timeframe?