A lemma named for Gauss says that the product of two primitive examples of these objects is primitive and Eisenstein's criterion concerns their reducibility.
Hilbert's Nullstellensatz relates algebraic sets to ideals in rings of these objects. A lemma named for Gauss says that the product of two primitive examples of these objects is primitive and Eisenstein's criterion concerns their reducibility. The set of these objects over a field K is denoted K bracket x and forms their namesake ring. Their quotients can be simplified by synthetic division. Eigenvalues correspond to the values at which a matrix's (*) characteristic one evaluates to zero. Descartes' rule of signs bounds the number of their real roots, and another theorem says that examples of degree n has n complex roots counting multiplicity. For 10 points, name these functions which can be written as a sum where each term is a coefficient times some power of a variable.
Hilbert's Nullstellensatz relates algebraic sets to ideals in rings of these objects.
polynomials