Quartic equation

In mathematics, a quartic equation is one which can be expressed as a quartic function equaling zero. The general form of a quartic equation is

${\displaystyle ax^{4}+bx^{3}+cx^{2}+dx+e=0\,}$

where a ≠ 0.

The quartic is the highest order polynomial equation that can be solved by radicals in the general case (i.e., one in which the coefficients can take any value).