what is the additive inverse of the polynomial?\n-7y² + x²y - 3xy - 7x²\n○ 7y² - x²y + 3xy + 7x²\n○ 7y² +…

what is the additive inverse of the polynomial?\n-7y² + x²y - 3xy - 7x²\n○ 7y² - x²y + 3xy + 7x²\n○ 7y² + x²y + 3xy + 7x²\n○ -7y² - x²y - 3xy - 7x²\n○ 7y² + x²y - 3xy - 7x²

what is the additive inverse of the polynomial?\n-7y² + x²y - 3xy - 7x²\n○ 7y² - x²y + 3xy + 7x²\n○ 7y² + x²y + 3xy + 7x²\n○ -7y² - x²y - 3xy - 7x²\n○ 7y² + x²y - 3xy - 7x²

Answer

Explanation:

Step1: Recall additive - inverse concept

The additive inverse of a polynomial (P(x)) is a polynomial (Q(x)) such that (P(x)+Q(x) = 0). To find the additive inverse of a polynomial, we change the sign of each term.

Step2: Change the sign of each term

Given polynomial is (-7y^{2}+x^{2}y - 3xy-7x^{2}). The additive inverse is (-(-7y^{2})-x^{2}y+3xy + 7x^{2}=7y^{2}-x^{2}y + 3xy+7x^{2}).

Answer:

A. (7y^{2}-x^{2}y + 3xy+7x^{2})