Question

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?
A. Adding their polynomials together or subtracting one polynomial from the other both result in a polynomial with degree 7.
B. Adding their polynomials together or subtracting one polynomial from the other both result in a polynomial with degree 5.
C. 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.
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.

Answer 1

Answer:

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.

Step-by-step explanation:

Answer 2

The degree of sum is differ from the degree of difference.

Step-by-step explanation:

Degree of a polynomial is a highest power of its monomials ( single term).