Definition:Sextic Equation

Definition
Let $\map f x = a x^6 + b x^5 + c x^4 + d x^3 + e x^2 + f x + g$ be a polynomial function over a field $\mathbb k$ of degree $6$.

Then the equation $f \paren x = 0$ is the general sextic equation over $\mathbb k$.

Also known as
A sextic equation is sometimes referred to as a hectic equation or a hexic equation.

Also see

 * Definition:Quadratic Equation
 * Definition:Cubic Equation
 * Definition:Quartic Equation
 * Definition:Quintic Equation