Euclidean division
For univariate polynomials with coefficients in a field, everything works similarly, Euclidean division, Bézout's identity and extended Euclidean algorithm. The first difference is that, in the Euclidean division and the algorithm, the inequality formula_71 has to be replaced by an inequality on the degrees formula_72 Otherwise, everything which precedes in this article remains the same, simply by replacing integers by polynomials.