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Cory writes the polynomial x7 + 3x5 + 3x + 1. Melissa writes the polynomial x7 + 5x + 10. Is there a difference between the degree of the sum and the degree of the difference of the polynomials?

Adding their polynomials together or subtracting one polynomial from the other both result in a polynomial with degree 7.
Adding their polynomials together or subtracting one polynomial from the other both result in a polynomial with degree 5.
Adding their polynomials together results in a polynomial with degree 14, but subtracting one polynomial from the other results in a polynomial with degree 5.
Adding their polynomials together results in a polynomial with degree 7, but subtracting one polynomial from the other results in a polynomial with degree 5.

Respuesta :

The difference between the degree of the sum and the degree of the difference of the polynomials is;

D: Adding their polynomials together results in a polynomial with degree 7, but subtracting one polynomial from the other results in a polynomial with degree 5.

How to find the degree of a Polynomial?

We are given the polynomials as;

Cory: x⁷ + 3x⁵ + 3x + 1

Melissa; x⁷ + 5x + 10

The degree of a polynomial is the highest exponent in that polynomial Thus, when we add both polynomials, we get;

x⁷ + 3x⁵ + 3x + 1 + x⁷ + 5x + 10 = 2x⁷ + 3x⁵ + 8x + 11

This is a degree 7 polynomial.

Subtraction of both polynomials gives;

x⁷ + 3x⁵ + 3x + 1 - x⁷ - 5x - 10 = 3x⁵ - 2x - 9

Read more about Degree of Polynomials at; https://brainly.com/question/12700460

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Answer:

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Step-by-step explanation:

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