Can someone explain how to factor/find roots to this 4th order polynomial:
$$ s^4 + 14s^3 +45s^2 +650s + 1800 = 0 $$
It's such a nightmare. I've been stuck for hours, any help would be appreciated 🙂
[Math] How to find the roots of this 4th order polynomial
polynomialsroots
Best Answer
Those roots can be found algebraically (e.g. see here), but the procedure is laboursome and error-prone, so that some numerical method (Newton-Raphson, fixed point iteration, secant procedure, ..) might be more practical.
If you manage to guess roots you can reduce the order of the polynomial and end up with easier algebraic solution formulae.