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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".
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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 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
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.
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 multiplication says that the product of two polynomials is always a polynomial?
Clouser
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 property of polynomial subtraction says hat the difference of two polynomials is always a polynomial?
Closure
Which property of polynomial multiplication says that the product of two polynomials is always a polynomial?
That property is called CLOSURE.
Algorithm for addition of two polynomials using linked list?
Let p and q be the two polynomials represented by the linked list. 1. while p and q are not null, repeat step 2. 2. If powers of the two terms ate equal then if the terms do not cancel then insert the sum of the terms into the sum Polynomial Advance p Advance q Else if the power of the first polynomial> power of second Then insert the term from first polynomial into sum polynomial Advance p Else insert the term from second polynomial into sum polynomial Advance q 3. copy the remaining terms from the non empty polynomial into the sum polynomial.
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).
What is a polynomial that cannot be written as a product of two polynomials?
prime
Is two terms a polynomial if the definition says more than two terms. Is a bi-nomial not part of the set of polynomials?
Two terms is a binomial. More than two terms is a polynomial. Binomials are not part of the set of polynomials.
