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What Must the sum of three polynomials again be a polynomial?

The sum of three polynomials must again be a polynomial because polynomials are defined as expressions consisting of variables raised to non-negative integer powers, combined using addition, subtraction, and multiplication by constants. When you add polynomials, the resulting expression will still adhere to these rules, maintaining the structure of a polynomial. Specifically, the degrees of the resulting polynomial will be determined by the highest degree among the summed polynomials, ensuring it remains a polynomial. Therefore, the sum of any number of polynomials is always a polynomial.


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.


What is the relationship between monomials binomials and trinomials?

A binomial is the sum of two monomials. A trinomial is the sum of three monomials. A polynomial is the sum of one or more monomials.A binomial is the sum of two monomials. A trinomial is the sum of three monomials. A polynomial is the sum of one or more monomials.A binomial is the sum of two monomials. A trinomial is the sum of three monomials. A polynomial is the sum of one or more monomials.A binomial is the sum of two monomials. A trinomial is the sum of three monomials. A polynomial is the sum of one or more monomials.


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

It is called the property of "closure".


Which polynomial represents the sum below?

Answer this ques Which polynomial represents the sum below?(-x3 + 3x2 + 3) + (3x2 + x + 4)tion…


What number must be added to the sum of 11 and 12 to equal the sum of 13 and 14?

4


A monomial or sum of monomials?

Quadratic polynomial


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.


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 The sum of the exponents on the variables in a term?

Degree of a Polynomial


Any polynomial is just a sum of monomials?

True


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".