EntityQ2242730· pop 19· linked from 81 articlesminimal polynomialSign in to savegiven an element α of a field extension E/F, the unique monic polynomial p∈F[x] of minimal degree such that p(α) = 0ConnectionsfieldEntityring homomorphismEntityalgebraic elementEntitymathematicsEntityInternational Standard Book NumberEntitypolynomialEntityvector spaceEntityzero of a functionEntityGalois theoryEntityidealEntityMathWorldEntityalgebraic number fieldEntityintegral domainEntityroot of unityEntitydegree of a polynomialEntityfield extensionEntityEric W. WeissteinEntityscalar multiplicationEntitypolynomial ringEntityPlanetMathEntityCategoriesField theoryPolynomials