Question

Which statement shows how the product of (x + 7)2 demonstrates the closure property of multiplication?

x2 + 14x + 49 is a polynomial
x2 + 14x + 49 may or may not be a polynomial
x2 + 49 is a polynomial
x2 + 49 may or may not be a polynomial

Answer 1

A

Explanation:

x2 + 14x + 49 is a polynomial, and since it is the product of (x + 7)2, it demonstrates the closure property of multiplication because multiplying two polynomials results in another polynomial. Therefore, the statement that shows how the product of (x + 7)2 demonstrates the closure property of multiplication is: "x2 + 14x + 49 is a polynomial."