Question

The sum of two polynomials is 8d5 – 3c3d2 + 5c2d3 – 4cd4 + 9. If one addend is 2d^5 – c^3d^2 + 8cd^4 + 1, what is the other addend?

6d^5 – 2c^3d^2 + 5c^2d^3 – 12cd^4 + 8

6d^5 – 4c^3d^2 + 3c^2d^3 – 4cd^4 + 8

6d^5 – 4c^3d^2 + 5c^2d^3 – 12cd^4 + 8

6d^5 – 2c^3d^2 – 3c^2d^3 – 4cd^4 + 8

Answer 1

Answer a, 6d^5 - 2c^3d^2 + 5c^2d^3 - 12cd^4 + 8

This answer was a correction given to me by the test I just took, it didn't give me any work. I did the math wrong and got A as a correction

Answer 2

Second addend is:

6d^5 – 2c^3d^2 + 5c^2d^3 – 12cd^4 + 8

Explanation:

We are given that:

The sum of two polynomials is 8d^5 – 3c^3d^2 + 5c^2d^3 – 4cd^4 + 9. If one addend is 2d^5 – c^3d^2 + 8cd^4 + 1

Then we have to find the other addend.

Let second addend=p

Then p+2d^5– c^3d^2 + 8cd^4 + 1= 8d^5 – 3c^3d^2 + 5c^2d^3 – 4cd^4 + 9

p= 8d^5 – 3c^3d^2 + 5c^2d^3 – 4cd^4 + 9-(2d^5– c^3d^2 + 8cd^4 + 1)

p = 6d^5-2c^3d^2+5c^2d^3-12cd^4+8

Hence, second addend is:

6d^5 – 2c^3d^2 + 5c^2d^3 – 12cd^4 + 8