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 answer

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.