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What operations are polynomials closed under?
+,-,X only
Are polynomial expressions closed under multiplication?
Yes, because there is no way of multiplying two polynomials to get something that isn't a polynomial.
What operations are irrational numbers closed under?
None.
Which operation between two polynomials will not always result in a polynomial?
Division of one polynomial by another one.
How polynomials and non polynomials are alike?
they have variable
What operations are polynomials closed under?
+,-,X only
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.
How the polynomials and non polynomials alike?
In my opinion the question is poorly defined, since "non-polynomial" could be just about anything.
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.
Are polynomial expressions closed under multiplication?
Yes, because there is no way of multiplying two polynomials to get something that isn't a polynomial.
How alike polonomials and non-polynomials?
"Non-polynomials" may be just about anything; how alike or different they are will depend on what specific restrictions you put on such functions, or whether you are even talking about functions.
Polynomials have factors that are?
Other polynomials of the same, or lower, order.
What operations are irrational numbers closed under?
None.
What operations are natural numbers closed?
Addition and multiplication.
What operations are closed for integers?
Addition, subtraction and multiplication.
Which operation between two polynomials will not always result in a polynomial?
Division of one polynomial by another one.
How polynomials and non polynomials are alike?
they have variable
