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

addition, subtraction, and multiplication only

Step-by-step 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.

the correct answer option is (2x-3)(2x+3).

step-by-step explanation:

we are given the following expression and we are to factorize it:

we are to find such factors that when multiplied they give a result of 36 (9 x 4 = 36) and when added they give a result of 0.

the two such factors of 36 are negative six and postive six.

factorizing the given expression to get:

therefore, the correct factorization of is (2x-3)(2x+3).