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Addition of polynomial?

addition of coefficient


What are some similarities between rational functions and polynomial function?

Rational functions and polynomial functions both involve expressions made up of variables raised to non-negative integer powers. They can have similar shapes and behaviors, particularly in their graphs, where they may exhibit similar end behavior as the degree of the polynomial increases. Additionally, both types of functions can be manipulated algebraically using addition, subtraction, multiplication, and division, although rational functions can include asymptotes due to division by zero, which polynomial functions do not have. Both functions can also be analyzed using techniques such as factoring and finding roots.


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.


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.