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

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โˆ™ 2011-07-02 03:34:10
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Algebra

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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Q: Is the product of two polynomials always a polynomial?
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Related questions

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

Clouser


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

That property is called CLOSURE.


Can the sum of three polynomials again be a polynomial?

The sum of two polynomials is always a polynomial. Therefore, it follows that the sum of more than two polynomials is also a polynomial.


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

prime


Is it possible to add 2 polynomials together and your answer is not a polynomial?

No. Even if the answer is zero, zero is still a polynomial.


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

It is called the property of "closure".


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

Closure


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

(b+8)(b+8)


Which operation between two polynomials will not always result in a polynomial?

Division of one polynomial by another one.


Is it always true that the zeros of the derivative and the zeros of the polynomial always alternate in location along the horizontal axis?

A zero of the derivative will always appear between two zeroes of the polynomial. However, they do not always alternate. Sometimes two or more zeroes of the derivative will occur between two zeroes of a polynomial. This is often seen with quartic or quintic polynomials (polynomials with the highest exponent of 4th or 5th power).


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.

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