Polynomials P 1 , … , P n ∈ K [ X ] {\displaystyle {}P_{1},\ldots ,P_{n}\in K[X]} over a field K {\displaystyle {}K} are called coprime, if they have, with the exception of constants c ≠ 0 {\displaystyle {}c\neq 0} , no common divisor.
![{\displaystyle {}P_{1},\ldots ,P_{n}\in K[X]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/98e8674da56efd0ecc032b0bb15b57a84730bd32)
