Let K {\displaystyle {}K} be a field and let K [ X ] {\displaystyle {}K[X]} be the polynomial ring over K {\displaystyle {}K} . Let P , T ∈ K [ X ] {\displaystyle {}P,T\in K[X]} be polynomials with T ≠ 0 {\displaystyle {}T\neq 0} .
Q , R ∈ K [ X ] {\displaystyle {}Q,R\in K[X]} such that
![{\displaystyle {}K[X]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/7861df9df3d7463835d927c4d0d4c27f5e2f8416)
![{\displaystyle {}P,T\in K[X]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/d0365a75734883b95d2b1a2d42e89087c1869d7d)
![{\displaystyle {}Q,R\in K[X]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/ec0b20cdd4c5ddfec3eef0ce7643f7152489b05a)
