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

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

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prime

It is called the property of "closure".

(b+8)(b+8)

It is an algebraic fraction, consisting of (one polynomial) divided by (the other one).

Is sometimes possible, but not always.

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Clouser

That property is called CLOSURE.

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

It is called the property of "closure".

Closure

(b+8)(b+8)

Division of one polynomial by another one.

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).

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

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.