Question

Under which operations are polynomials closed? Addition, subtraction, multiplication, and division addition and subtraction only addition, subtraction, and multiplication only addition and multiplication only

Answer 1

Addition, Subtraction, and Multiplication

Explanation:

Answer 2

addition, subtraction, and multiplication only

Explanation:

There are a couple of reasons why polynomials are not closed under division:

1. the set of polynomials includes zero, and division by zero is undefined.

2. division by a polynomial can give rise to terms that are not non-negative powers of the variable, 1/x, for example. These terms are not included in the set of polynomials.