Andrea argues that (5m−3) (2m+4)models the closure property.
What reasoning could Andrea use to argue that multiplication of polynomials is closed?
Andrea could use the reasoning that when two polynomials are multiplied, the resulting expression is still a polynomial. In other words, if we start with two polynomials, the product of those polynomials will also be a polynomial.
In the given expression, (5m - 3)(2m + 4), both factors are polynomials. When multiplied together, the result will be a polynomial because the product of two polynomials is always a polynomial. Therefore, multiplication of polynomials is closed, and the given expression models the closure property.