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 terms in the expression are rational numbers and the product is a polynomial
b. The exponents of the product are integers and the product is a polynomial
c. The coefficients of the product are integers and the product is a polynomial
d. The coefficients of the product are whole numbers and the product is a polynomial
e. The exponents of the product are whole numbers and the product is a polynomial
a. The terms in the expression are rational numbers and the product is a polynomial
Andrea could argue that since the terms in the expression (5m−3) and (2m+4) are polynomials (as they are of the form ax + b where a and b are rational numbers), and the product of two polynomials is also a polynomial, then the multiplication of polynomials is closed under the operation.