Yes.
to multiplya polynomial by a monomial,use the distributive property and then combine like terms.
You just multiply the term to the polynomials and you combine lije terms
no because it is only one term and it really can not
The property is called commutativity.
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.
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.
to multiplya polynomial by a monomial,use the distributive property and then combine like terms.
You just multiply the term to the polynomials and you combine lije terms
no because it is only one term and it really can not
The property is called commutativity.
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.
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.
That property is called CLOSURE.
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.
It is called the property of "closure".
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.
Distributive property