Definition:Reduced Cubic

Definition

A reduced cubic in a variable $x$ is a cubic equation in $x$ in which the term in $x^2$ is zero.

Also see

• Definition:Tschirnhaus Transformation, which is used to transform a general cubic equation into its reduced form

Sources

• 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): reduced form of a cubic
• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): cubic
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): cubic