In mathematics, a quintic equation is a polynomial equation of degree five. It is of the form:
where are members of a field, typically the rational numbers, the real numbers or the complex numbers, and If a = 0 but one of the other coefficients is non-zero, the equation is classified as either a quartic equation, cubic equation, quadratic equation or linear equation
Because they have an odd degree, normal quintic functions appear similar to normal cubic functions when graphed, except they may possess an additional local maximum and local minimum each. The derivative of a quintic function is a quartic function.
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