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?

Answer 1

Answer:

The answer is D on edge

Step-by-step explanation:

Just took the assignment :)

Answer 2

Answer:

Step-by-step explanation:

The two given polynomials written by Cory and Melissa are:

$x^7+3x^5+3x+1$ and $x^7+5x+10$

Now, adding both the given polynomials, we get

$x^7+3x^5+3x+1+x^7+5x+10$

=$2x^7+3x^5+8x+11$

Thus, the degree of the sum of the two polynomials is 7.

Now, subtracting both the given polynomials, we get

$x^7+3x^5+3x+1-x^7-5x-10$

=$3x^5-2x-9$

Thus, the degree of the difference of two polynomials is 5.

Therefore, there is a difference  between the degree of the sum and the degree of the difference of the polynomials.