Hilbert's Nullstellensatz relates algebraic sets to ideals in rings of these objects.
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