2 x 7 x w
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2 x 7 x w = 14w
Any polynomial in which there are at least two co-prime coefficients will have 1 as the greatest monomial factor.
11w2 - 14w + 3= 11w2 - 11w - 3w + 3= 11w(w - 1) - 3(w - 1)= (w - 1)(11w - 3)
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