The multiplication of two "primitive" types of these things is itself primitive according to Gauss's lemma.
Every ideal of this type of ring is finitely generated according to Hilbert's basis theorem. The multiplication of two "primitive" types of these things is itself primitive according to Gauss's lemma. These things can be evaluated using nested multiplication or Horner's method. The Eisenstein criterion provides a sufficient condition for these things being irreducible over the rationals. A continuous function can be uniformly approximated on a closed interval by one of these things. Niels Henrik Abel fully proved that there was no solution in radicals to these things when they have degree greater than five. For 10 points, identify these things that consists of sums of coefficients multiplied by variables raised to integer exponents.
Every ideal of this type of ring is finitely generated according to Hilbert's basis theorem.
polynomials