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1. 3x2+12= 3(x2+4)

2. 7x2+35x= 7x(x+5)

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The factor monomial for 30x^2y is the simplest expression that can be factored out from the given monomial. In this case, the factor monomial is 10xy, which is obtained by finding the greatest common factor of the coefficients and variables in the expression. This factor monomial represents the common terms shared by all parts of the original monomial, making it easier to work with in algebraic expressions.


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(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


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