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

Also known as

A sextic equation can also be referred to as a hectic equation or a hexic equation.

Also see

• Definition:Quadratic Equation
• Definition:Cubic Equation
• Definition:Quartic Equation
• Definition:Quintic Equation

• Results about sextic equations can be found here.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): sextic
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): sextic