C) The exponents of the product are whole numbers and the product is a polynomial.
Andrea can argue that since the exponents of each term in the product are whole numbers (in this case, 1), it meets the definition of a polynomial. Additionally, because the product of two polynomials is also a polynomial, multiplication of polynomials is closed.
Andrea argues that (5m−3) (2m+4) models the closure property. What reasoning could Andrea use to argue that multiplication of polynomials is closed?
A) The coefficients of the product are integers and the product is a polynomial
B)The coefficients of the product are whole numbers and the product is a polynomial
C)The exponents of the product are whole numbers and the product is a polynomial
D)The terms in the expression are rational numbers and the product is a polynomial
E) The exponent of the product are integers and the product is a polynomial
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