Answer:
The additive inverse of the polynomial will be 7y² -x²y +3xy +7x²
Step-by-step explanation:
The additive inverse of a polynomial will be a polynomial which, when we add to the original polynomial, the result will be 0.
For example, given the polynomial:
ax² + bx + c
Additive inverse:
-ax² - bx - c
When we add both polynomials:
ax² + bx + c -ax² - bx - c = 0
We have to obtain the additive inverse of the polynomial:
-7y² +x²y -3xy -7x²
Therefore, the additive inverse of the polynomial will be:
7y² -x²y +3xy +7x²
