All rings of these objects over countable fields are finitely generated, according to Hilbert's basis theorem.
All rings of these objects over countable fields are finitely generated, according to Hilbert's basis theorem. Horner's rule is a method of evaluating these objects, and Eisenstein's criterion gives the condition for them to be irreducible. Abel's impossibility theorem states these objects of degree five are incapable of algebraic solutions. Descartes [dey-KART] is the namesake of a rule that relates their number of positive roots to the number of changes of sign of their coefficients. For 10 points, name these mathematical expressions exemplified by x squared plus four x minus six.
All rings of these objects over countable fields are finitely generated, according to Hilbert's basis theorem.
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