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Which property of polynomial addition says that the sum of two polynomials is always a polynomial?
Wiki User
∙ 6y ago
It is called the property of "closure".
Wiki User
∙ 7y ago
Wiki User
∙ 6y agoWhat is a polynomial
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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 does it mean for a polynomial to be closed under addition subtraction and multiplication?
It means that you can do any of those operations, and again get a number from the set - in this case, a polynomial. Note that if you divide a polynomial by another polynomial, you will NOT always get a polynomial, so the set of polynomials is not closed under division.
A polynomial function is always continuous?
Yes, a polynomial function is always continuous
Differentiate of polynomial and algebraic expression?
A polynomial is always going to be an algebraic expression, but an algebraic expression doesn't always have to be a polynomial. In another polynomial is a subset of algebraic expression.
What is an inverse property of addition?
+8 - 8 = 0 is an example of the inverse property of addition. Inverse Property of Addition-A number added to its opposite integer will always equal zero. (The order does not matter, since it is addition.) [Ex. 3 + (-3) = 0 or (-3) + 3 = 0]
Which property of polynomial multiplication says that the product of two polynomials is always a polynomial?
That property is called CLOSURE.
What property of polynomial multiplication says that the product of two polynomials is always a polynomial?
Clouser
What property of polynomial subtraction says hat the difference of two polynomials is always a polynomial?
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.
Is the difference of 2 polynomials always a polynomial?
yes
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 does it mean for a polynomial to be closed under addition subtraction and multiplication?
It means that you can do any of those operations, and again get a number from the set - in this case, a polynomial. Note that if you divide a polynomial by another polynomial, you will NOT always get a polynomial, so the set of polynomials is not closed under division.
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).
Will the sum of two polynomials always be a polynomial?
Yes. Note that specifically, the sum might be a constant (just a number), or even zero, but it is convenient to include those in the definition of "polynomial".
Do you always use the property of distribution when multiplying monomials and polynomials?
Yes.
