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Q: What operations are polynomials closed under?
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Related questions

What operations is not closed for polynomials?

division


What does it mean for a polynomial to be closed under addition subtraction and multiplication?

It means that you can do any of those operations, and again get a number from the set - in this case, a polynomial. Note that if you divide a polynomial by another polynomial, you will NOT always get a polynomial, so the set of polynomials is not closed under division.


What operations are irrational numbers closed under?

None.


Are polynomial expressions closed under multiplication?

Yes, because there is no way of multiplying two polynomials to get something that isn't a polynomial.


Are whole numbers closed under the operations of multiplication?

Yes.


Is this set of negative numbers closed under multiplication or addition?

Yes. The empty set is closed under the two operations.


Are rational numbers are closed under addition subtraction division or multiplication?

The set of rational numbers is closed under all 4 basic operations.


How the polynomials and non polynomials alike?

In my opinion the question is poorly defined, since "non-polynomial" could be just about anything.


Are whole numbers closed under the operations of addition?

Yes. When you add any whole numbers you get another whole number. That is what closed means in this context. The answer is still a whole number.


When factoring polynomials under what circumstances do you change the operation?

you dont


How do you make working model of maths on polynomials?

Polynomials are the simplest class of mathematical expressions. The expression is constructed from variables and constants, using only the operations of addition, subtraction, multiplication and non-negative integer exponents.


What does it mean if an integer is closed?

You don't say that "an integer is closed". It is the SET of integers which is closed UNDER A SPECIFIC OPERATION. For example, the SET of integers is closed under the operations of addition and multiplication. That means that an addition of two members of the set (two integers in this case) will again give you a member of the set (an integer in this case).