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Which property of polynomial addition says that the sum of two polynomials is always a polynomial?

It is called the property of "closure".


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.


If polynomial is not any number then how will you define a polynomial?

An expression made with constants, variables and exponents, which are combined using addition, subtraction and multiplication, ... but not division.


Programfor addition of two polynomial using circular link list?

dsd


What is the rules of addition and subtraction in polynomials?

6+6=12 Boom polynomial


What two properties are commonly used when multiplying a monomial by a polynomial?

Distributive property of multiplication over addition, Commutativity of addition.


What is a numbera variableor a number and variable multiplied togetherseparated by addition and subtraction called?

A number and a variable multiplied together, separated by addition and subtraction, is called a polynomial. In a polynomial, the variables can have non-negative integer exponents, and the coefficients can be any real numbers. For example, (3x^2 + 4x - 5) is a polynomial.


Why monomial is not polynomial?

In mathematics, a polynomial is a finite expression made up of variables and constants, by using the operations of addition, subtraction, multiplication. The other requirement is the the exponents bet non-negative whole number.A polynomial is the sum of two or more monomials. That is why a monomial is not a polynomial.


Can a constant be considered a polynomial?

No, a constant cannot be considered a polynomial because it is only a single term. A polynomial is defined as an expression that consists of the variables and coefficients that involves only the operations of subtraction, addition, multiplication, and the non-negative integer exponents.


Are polynomial expressions closed under subtraction?

Yes they are closed under multiplication, addition, and subtraction.


Which property of polynomial subtraction says that the difference of two polynomials is always a polynomial?

The property that states the difference of two polynomials is always a polynomial is known as the closure property of polynomials. This property indicates that when you subtract one polynomial from another, the result remains within the set of polynomials. This is because polynomial operations (addition, subtraction, and multiplication) preserve the degree and structure of polynomials. Thus, the difference of any two polynomials will also be a polynomial.