Category:Modulo Polynomial Division
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This category contains results about Modulo Polynomial Division.
Definitions specific to this category can be found in Definitions/Modulo Polynomial Division.
Let $\map f x$ and $\map g x$ be integral polynomials.
The operation of polynomial division modulo $m$ is defined as:
- $\map f x \div_m \map g x$ equals the integral polynomial $\map h x$ such that:
- $\map g x \times_m \map h x \equiv \map f x \pmod m$
where:
- $m \in \Z$ is an integer
- $\equiv$ means that the respective coefficients are congruent modulo $m$
provided such a polynomial exists.
Subcategories
This category has the following 2 subcategories, out of 2 total.