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What is a polynomial that cannot be written as a product of two polynomials?
prime
Which property of polynomial addition says that the sum of two polynomials is always a polynomial?
It is called the property of "closure".
To find the product of two polynomials multiply the top polynomial by each of the bottom polynomial?
(b+8)(b+8)
What is a ratio of two polynomials?
It is an algebraic fraction, consisting of (one polynomial) divided by (the other one).
To write a polynomial as the product of 1 monomial factors and 2 prime factors with at least two terms?
Is sometimes possible, but not always.
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.
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.
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.
What is a polynomial that cannot be written as a product of two polynomials?
prime
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
