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What operations are polynomials closed under?
+,-,X only
Is Natural numbers are closed under multiplication?
Yes.natural numbers are closed under multiplication.It means when the operation is done with natural numbers in multiplication the sum of two numbers is always the natural number.
Are rational numbers are closed under addition subtraction division or multiplication?
The set of rational numbers is closed under all 4 basic operations.
Is the set of real numbers closed under addition?
Yes. The set of real numbers is closed under addition, subtraction, multiplication. The set of real numbers without zero is closed under division.
Is the set of whole numbers are closed under multiplication?
If you can never, by multiplying two whole numbers, get anything but another whole number back as your answer, then, YES, the set of whole numbers must be closed under multiplication.
Are polynomial expressions closed under subtraction?
Yes they are closed under multiplication, addition, and subtraction.
Are polynomial expressions closed under addition?
Yes.
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.
Is the set of composite number closed under multiplication?
Is { 0, 20 } closed under multiplication
Is 018 closed under multiplication?
No.
Are negative integers closed under multiplication?
No.
Is w-10 closed under multiplication?
No.
Are the prime numbers closed under multiplication?
No.
Is the set of non-deterministic polynomial time (NP) problems closed under the operation of union?
Yes, the set of non-deterministic polynomial time (NP) problems is closed under the operation of union.
What operations are polynomials closed under?
+,-,X only
Are rational numbers closed under division multiplication addition or subtraction?
Rational numbers are closed under addition, subtraction, multiplication. They are not closed under division, since you can't divide by zero. However, rational numbers excluding the zero are closed under division.
Is the set of integers closed under multiplication?
Yes!
