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Equations at the third and more.

  1. Sep 29, 2013 #1
    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)
  2. jcsd
  3. Sep 29, 2013 #2
    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/
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