Definition:Quintic

Definition

The word quartic is used to indicate a mathematical expression of the $5$th degree.

Quintic Polynomial

A quintic polynomial is a polynomial of degree $5$.

Quintic Equation

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

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

Also see

• Results about quintics can be found here.

Sources

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