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# Is the product of two polynomials always a polynomial?

Updated: 4/28/2022

Wiki User

12y ago

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

Wiki User

12y ago

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

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

prime

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

It is called the property of "closure".

Closure

(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.