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Usually the sum will have the same degree as the highest degree of the polynomials that are added. However, it is also possible for the highest term to cancel, for example if one polynomial has an x3, and the other a -x3. In this case, the sum will have a lower degree.

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Q: How is the degree of of the sum related to the degree of the original polynomials?
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Related questions

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.


How do you find sum of polynomials?

== ==


Can the sum of two polynomials with x as the variable both starting as degree 4 simplify to be of degree 3?

Yes. If and only if the coefficients of x4 are of the same magnitude and opposite sign.


How can you get the degree of the polynomials?

The degree of a polynomial is the highest degree of its terms.The degree of a term is the sum of the exponents of the variables.7x3y2 + 15xy6 + 23x2y2The degree of the first term is 5.The degree of the second term is 7.The degree of the third term is 4.The degree of the polynomial is 7.


Can the sum of two polynomials with x as the variable both starting as degree 4 simplify to be of degree 3 in the answer?

Yes. Here is an example: P1 = 5x4 + 3x3; P2 = -5x4 -2


How do you classify polynomials based on degree?

The degree of a polynomial is the highest degree of its terms.The degree of a term is the sum of the exponents of the variables.7x3y2 + 15xy6 + 23x2y2The degree of the first term is 5.The degree of the second term is 7.The degree of the third term is 4.The degree of the polynomial is 7.


Would the sum of three polynomials again be a polynomial?

Yes.


What is the degree an algebraic ezpression?

The "degree" is only specified for polynomials. The degree of a monomial (a single term) is the sum of the powers of all the variables. For example, x3y2z would have the degree 6; you have to add 3 + 2 + 1 (since z is the same as z to the power 1). The degree of a polynomial is the degree of its highest monomial.


What does polynomials mean in mathematical terms?

It means the sum of several monomials.


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.


Rules in adding polynomials?

To add polynomials , simply combine similar terms. Combine similar terms get the sum of the numerical coefficients and affix the same literal coefficient .


What is the sum of any number multiplied by its what equals 0?

There is no number related to the original (as implied by "its what") that will do.