Andrea argues that (5m - 3)(2m + 4) models the closure property. What reasoning could Andrea use to argue that multiplication of polynomials is closed?

(1 point)

The terms in the expression are rational numbers and the product is a polynomial

The coefficients of the product are whole numbers and the product is a polynomial

The exponents of the product are integers and the product is a polynomial

The exponents of the product are whole numbers and the product is a polynomial

The coefficients of the product are integers and the product is a polynomial

1 answer

Andrea could use the reasoning that the terms in the expression are rational numbers, and since the product of two rational numbers is also a rational number, the product of the polynomials is a polynomial. Therefore, multiplication of polynomials is closed.