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DevinOh, dude, polynomials are like the cool kids in math class because they're closed under addition, subtraction, and multiplication. You can add them, subtract them, and multiply them all day long, and they'll still be chill polynomials. Just don't try to divide them, that's where things get a little messy.
Polynomials are closed under addition, subtraction, multiplication, and division (as long as the divisor is not zero). This means that when you add, subtract, multiply, or divide two polynomials, the result will always be another polynomial. However, it's important to note that division by a polynomial can sometimes result in a quotient that is not a polynomial, but rather a rational function.
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What operations is not closed for polynomials?
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 rational numbers are closed under addition subtraction division or multiplication?
The set of rational numbers is closed under all 4 basic operations.
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).
