Let K {\displaystyle {}K} be a field. We say that a polynomial T ∈ K [ X ] {\displaystyle {}T\in K[X]} divides a polynomial P ∈ K [ X ] {\displaystyle {}P\in K[X]} , if there exists a polynomial Q ∈ K [ X ] {\displaystyle {}Q\in K[X]} such that
![{\displaystyle {}T\in K[X]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/7d4849e575dad5bbdf92559d0de92981d221c74c)
![{\displaystyle {}P\in K[X]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/4692e3ffcbd66e900f8975113ff3f32f1cabc21a)
![{\displaystyle {}Q\in K[X]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/c07a4127ce1d194534590b79ac674ef47165b91c)
