In mathematics, a septic equation is equation of the form
where a ≠ 0.
A septic function is a function of the form
where a ≠ 0. In other words, it is a polynomial of degree seven. If a = 0, then it is a sextic function (b ≠ 0), quintic function (b = 0, c ≠ 0), etc.
The equation may be obtained from the function by setting y(x) = 0.
The coefficients a, b, c, d, e, f, g, h may be either integers, rational numbers, real numbers, complex numbers or, more generally, members of any field.
Because they have an odd degree, septic functions appear similar to quintic or cubic function when graphed, except...