Definition:Sextic Equation
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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.