The sum of two polynomials is –yz2 – 3z2 – 4y + 4. if one of the polynomials is y – 4yz2 – 3, what is the other polynomial?
–2yz2 – 4y + 7
–2yz2 – 3y + 1
–5yz2 + 3z2 – 3y + 1
3yz2 – 3z2 – 5y + 7

Option D. is the correct option.

Step-by-step explanation:

Sum of two polynomials is  - yz² - 3z²- 4y + 4. If one of the polynomials is y - 4yz² - 3, Then we have to find the other polynomial.

Let the other polynomial is A.

Therefore, A + (y - 4yz² - 3) = -yz² - 3z² -4y + 4

Now A = (-yz² - 3z²- 4y + 4) - (y - 4yz² - 3)

           = - yz²+ 4yz² - 3z²- 4y - y + 4 + 3

           = 3yz² - 3z²- 5y + 7

Our answer matches with option D.