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In mathematics, a quintic function is a function of the form

g(x)=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. In other words, a quintic function is defined by a polynomial of degree five.