Category:Definitions/Roots of Polynomials

This category contains definitions related to Roots of Polynomials.
Related results can be found in Category:Roots of Polynomials.

Let $R$ be a commutative ring with unity.

Let $f \in R \sqbrk x$ be a polynomial over $R$.

A root in $R$ of $f$ is an element $x \in R$ for which $\map f x = 0$, where $\map f x$ denotes the image of $f$ under the evaluation homomorphism at $x$.