Question

Which statement justifies that 3x^2 - 2x - 4 multiplied by 2x^2 + x - 3 obeys the closure property of multiplication?

The result 6x^4 - 2x^2 + 12 has a degree of 4.

The result 6x^4 - 2x^2 + 12 is a trinomial.

The result 6x^4 - x^3 - 19x^2 + 2x + 12 is a polynomial.

The result 6x^4 - x^3 - 19x^2 + 2x + 12 has a degree of 4.

Answer 1

giving
medal

Answer 2

What does the closure property mean?

Answer 3

idk

Answer 4

Since you have a question about the closure property, you need to know its meaning to be able to answer.
I'll explain it to you.

Answer 5

The closure property means that if you do a certain operation with numbers from a set of numbers, the answer is also in the set of numbers.

Answer 6

I'll give you some examples to make it easier to understand.

Answer 7

The closure property is an attribute of a set with respect to a binary operation, not only a binary operation.
A set S is closed with respect to multiplication if, for any two elements, x and y, belonging to S, x*y also belongs to S.

Answer 8

Question: Is there closure in the multiplication of two integers?
Answer: if you multiply any two integers, the answer will be an integer. That means there is closure for multiplication of integers.

Answer 9

Question: Is there closure for subtraction of whole numbers?
Answer: 3 and 7 are whole numbers. Since 3 - 7 = -4, and -4 is not a whole number, there is no closure for subtraction of integers.

Answer 10

Do you understand the idea of closure now?

Answer 11

Did you get the answer?

Answer 12

no

Answer 13

@mathstudent55

Answer 14

Do you understand closure now?