Question

define lemma and polynomial

Answer 1

Gauss's Lemma for Polynomials is a result in algebra. ... Such a polynomialis called primitive if the greatest common divisor of its coefficients is 1. The original lemma states that the product of two polynomials with integer coefficients is primitive if and only if each of the factor polynomialsis primitive.

Answer 2

Gauss's Lemma (polynomial) Gauss'sLemma for Polynomials is a result in algebra. The original statement concerns polynomials with integer coefficients. Such a polynomial is called primitive if the greatest common divisor of its coefficients is 1. ... For , let denote the two-sided ideal generated by the coefficients of .