# Quadratic Split Quaternion Polynomials: Factorization and Geometry

## TL;DR

This paper explores the factorization of quadratic split quaternion polynomials, providing conditions for their factorization and offering geometric interpretations within projective space over split quaternions.

## Contribution

It introduces new inequality conditions for factorization and presents geometric insights into quadratic split quaternion polynomials.

## Key findings

- Derived inequality conditions for polynomial factorization
- Provided geometric interpretations in projective space
- Enhanced understanding of split quaternion polynomial structure

## Abstract

We investigate factorizability of a quadratic split quaternion polynomial. In addition to inequality conditions for existence of such factorization, we provide lucid geometric interpretations in the projective space over the split quaternions.