# Factoring Polynomials over Various Rings

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This Demonstration looks at the factorization of polynomials over the integers, the Gaussian integers, and the finite fields , where is prime.

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Contributed by: Theodore S. Erickson (Wheeling Jesuit University) (March 2011)

Based on a program by: Eric W. Weisstein

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

Snapshot 1: does factor over the Gaussian integers using

Snapshot 2: factors into four linear factors in

Snapshot 3: factors into two quadratic factors in

J. A. Gallian, *Contemporary* *Abstract Algebra*, 7th ed., Belmont, CA: Brooks/Cole, 2010.

## Permanent Citation