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

That property is called CLOSURE.


Will the product of two polynomials always be a polynomial?

Yes, the product of two polynomials will always be a polynomial. This is because when you multiply two polynomials, you are essentially combining like terms and following the rules of polynomial multiplication, which results in a new polynomial with coefficients that are the products of the corresponding terms in the original polynomials. Therefore, the product of two polynomials will always be a polynomial.


Is the product of two polynomials always a polynomial?

Yes. A polynomial multiplying by a polynomial will always have a multi-termed product. Hope this helps!


What is a polynomial that cannot be written as a product of two polynomials?

prime


What is the answer called when 2 or more polynomials are multipiled?

A polynomial is any number of the form Ax^n + Bx^n-1 + ... + c. So, multiplying numbers with exponents with any other numbers with exponents in polynomials only results in another, larger polynomial. Since this is multiplication, you could call the resultant polynomial a product.


Why is it important to know the reverse process of multiplication?

To cross-check that a multiplication is correct as for example if 7*8 = 56 then the reverse process of division must be correct as 56/7 = 8 or 56/8 = 7


To find the product of two polynomials multiply the top polynomial by each of the bottom polynomial?

(b+8)(b+8)


If a polynomial cannot be written as the product of two other polynomials excluding 1 and negative 1 then the polynomial is said to be?

irreducible polynomial prime...i know its the same as irreducible but on mymathlab you would select prime


When polynomial is a quadratic polynomial?

Whenever there are polynomials of the form aX2+bX+c=0 then this type of equation is know as a quadratic equation. to solve these we usually break b into two parts such that there product is equal to a*c and I hope you know how to factor polynomials.


Which property of multiplication states that changing the order of the factor does not change the product?

The commutative property of multiplication.


What property is used when finding the product of a monomial and a polynomial?

Distributive


What property of multiplication states that the order in which two numbers are multiplied does not affect the product?

Commutative Property of Multiplication