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Do you always use the property of distribution when multiplying monomials and polynomials Explain why or why not In what situations would distribution become important?

The answer to your question is a yes. The Distributive property is a property, which is used to multiply a term and two or more terms inside the parentheses.


Division of Monomials and Polynomials by Monomials?

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


What is the distributive property when multiplying polynomials?

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


Do you have to use the distributive property when multiplying two monomials together?

no because it is only one term and it really can not


What math properties allows you to change the order of operation when multiplying polynomials?

The property is called commutativity.


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.


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

The property of polynomial subtraction that ensures the difference of two polynomials is always a polynomial is known as closure under subtraction. This property states that if you take any two polynomials, their difference will also yield a polynomial. This is because subtracting polynomials involves combining like terms, which results in a polynomial expression that adheres to the same structure as the original polynomials.


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

That property is called CLOSURE.


What does distrubity property mean?

The distributive property is a fundamental principle in arithmetic and algebra that states that multiplying a number by a sum is the same as multiplying each addend separately and then adding the results. Mathematically, it can be expressed as ( a(b + c) = ab + ac ). This property helps simplify expressions and solve equations by allowing the distribution of multiplication over addition or subtraction.


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

It is called the property of "closure".


How are operations and properties of real numbers related to polynomials?

Operations and properties of real numbers, such as addition, subtraction, multiplication, and division, directly apply to polynomials since they are composed of real number coefficients and variables raised to non-negative integer powers. Polynomials can be manipulated using these operations, allowing for the application of properties like the distributive property, the commutative property, and the associative property. Additionally, the behavior of polynomials, including their roots and behavior at infinity, is fundamentally linked to the properties of real numbers. Thus, understanding real number operations is essential for working with and analyzing polynomials.


What property says that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the product?

Distributive property