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Closure

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Q: What property of polynomial subtraction says hat the difference of two polynomials is always a polynomial?
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Related questions

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

It is called the property of "closure".


Which property of polynomial multiplication says that the product of two polynomials is always a polynomial?

That property is called CLOSURE.


What property of polynomial multiplication says that the product of two polynomials is always a polynomial?

Clouser


Division of Monomials and Polynomials by Monomials?

to multiplya polynomial by a monomial,use the distributive property and then combine like terms.


Do you use the distributive property with a monomial and a polynomial?

If you want to multiply the monomial by the polynomial, yes. In that case, you have to multiply the monomial by every term of the polynomial. For example: a (b + c + d) = ab + ac + ad More generally, when you multiply together two polynomials, you have to multiply each term in one polynomial by each term of the other polynomial; for example: (a + b)(c + d) = ac + ad + bc + bd All this can be derived from the distributive property (just apply the distributive property repeatedly).


Can multiplication be distributive over subtraction?

Multiplication can be the first step when using the distributive property with subtraction. The distributive law of multiplication over subtraction is that the difference of the subtraction problem and then multiply, or multiply each individual products and then find the difference.


What is the distributive property when multiplying polynomials?

You just multiply the term to the polynomials and you combine lije terms


Can you use the Associative Property with subtraction and division?

No you can not use subtraction or division in the associative property.


Does the communitive property work with subtraction?

yes it does work for subtraction


Is subtraction an identity property?

Subtraction is not an identity property but it does have an identity property. The identity is 0 and each number is its own inverse with respect to subtraction. However, this is effectively the same as the inverse property of addition so there is no real need to define it as a separate property.


What property is used to multiply a term into a polynomial?

Distributive Property


Is there an associative property of subtraction?

No it can not.