Question

What is the additive inverse of the polynomial?

–7y2+x+y=3xy-7x2

0 742 – x+y+3xy+7x2

O 7y2 + x+y+ 3xy+7x2

O -7y2 – x2y=3xy-7x2

0 7²+x²y-3xy-7x²

Answer 1

The additive inverse of the polynomial will be 7y² -x²y +3xy +7x²

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