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Any polynomial in which there are at least two co-prime coefficients will have 1 as the greatest monomial factor.
the coefficient
(x + 1) and (x + 2) are monomial factors of the polynomial x2 + 3x + 2 (x + 1) and (x + 3) are monomial factors of the polynomial x2 + 4x + 3 (x + 1) is a common monomial factor of the polynomials x2 + 3x + 2 and x2 + 4x + 3
You divide each term of the binomial by the monomial, and add everything up. This also works for the division of any polynomial by a monomial.
the answer is 3x2