| − | Many problems in mathematics and [[science]] involve solving polynomial equations. For simple polynomials, there exist formulas for solving them such as the [[quadratic formula]]. For higher degrees, these formulas become incredibly complicated. However, no such formulas exist for an general n<sup>th</sup> degree polynomial so another method must be used.<ref>[http://mathworld.wolfram.com/AbelsImpossibilityTheorem.html Abel-Ruffini theorem on wolfram.com]</ref> | + | Many problems in mathematics and [[science]] involve solving polynomial equations. For simple polynomials, there exist formulas for solving them such as the [[quadratic formula]]. For higher degrees, these formulas become incredibly complicated. However, no such formulas exist for an general n<sup>th</sup> degree polynomial so another method must be used.<ref>[http://mathworld.wolfram.com/AbelsImpossibilityTheorem.html Abel-Ruffini theorem on wolfram.com]</ref> This is known as the [[Abel-Ruffini theorem]]. |