Let K {\displaystyle {}K} be a field and let K [ X ] {\displaystyle {}K[X]} be the polynomial ring over K {\displaystyle {}K} . Let P ∈ K [ X ] {\displaystyle {}P\in K[X]} be a polynomial ( ≠ 0 {\displaystyle {}\neq 0} ) of degree d {\displaystyle {}d} .
![{\displaystyle {}K[X]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/7861df9df3d7463835d927c4d0d4c27f5e2f8416)
![{\displaystyle {}P\in K[X]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/4692e3ffcbd66e900f8975113ff3f32f1cabc21a)
has at most zeroes.