Question

what is the additive inverse of the polynomial?
$-7y^2 + x^2y - 3xy - 7x^2$
$\bigcirc\\ 7y^2 - x^2y + 3xy + 7x^2$
$\bigcirc\\ 3y^2 + x^2y + 3xy + 7x^2$
$\bigcirc\\ -7y^2 - x^2y - 3xy - 7x^2$
$\bigcirc\\ 7y^2 + x^2y - 3xy - 7x^2$

Explanation:

Step1: Identify the original polynomial

Original polynomial: $-y^2 + x^2y - 3xy - 7x^2$

Step2: Find additive inverse

Additive inverse = $-(-y^2 + x^2y - 3xy - 7x^2) = y^2 - x^2y + 3xy + 7x^2$

Answer:

$y^2 - x^2y + 3xy + 7x^2$