Definition:Quintic
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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 Function
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