Equations at the third and more.

[Hepic]

Equations that have x^3 or x^4 etc...,are solved with method of Horner.
There is quicker way to solve an equation like that? (except factorization).

Thank you a lot!

(Sorry for my english)

 

[h6ss]

Well, there's a general formula for solving cubic and quartic equations. However, Abel's impossibility theorem states that there cannot be explicit algebraic formulas for the general solutions to degree 5 and higher polynomials.

But some techniques can help you solve such equations...

For example, this page discuss the solvability of quintic equations: http://library.wolfram.com/examples/quintic/