In mathematics, a quintic function is a function of the form g = a x 5 + b x 4 + c x 3 + d x 2 + e x + f, {\displaystyle g=ax^{5}+bx^{4}+cx^{3}+dx^{2}+ex+f,\,} where a, b, c, d, e and f are members of a field, typically the rational numbers, the real numbers or the complex numbers, and a is nonzero. Wikipedia