Question

Ms. Sanabria claims that the closure properties for polynomials are analogous to the closure properties for integers. Mr. Roberts claims that the closure properties for polynomials are analogous to the closure properties of rational numbers. Who is correct?

a) Ms. Sanabria
b) Mr. Roberts
c) Both are correct
d) Neither is correct

Answer 1

Ms. Sanabria is correct. The closure properties for polynomials are analogous to the closure properties for integers.

Step-by-step explanation:

Ms. Sanabria is correct. The closure properties for polynomials are analogous to the closure properties for integers. In mathematics, closure properties refer to the fact that the result of an operation on a set of numbers will always belong to that same set.

The closure property for polynomials states that if you perform an operation (addition, subtraction, multiplication) on two polynomials, the result will always be another polynomial.

Similarly, the closure properties for integers state that if you perform an operation on two integers, the result will always be another integer.

On the other hand, the closure properties for rational numbers state that if you perform an operation on two rational numbers, the result will always be another rational number. This is not directly analogous to the closure properties for polynomials.