Question

What is the additive inverse of the polynomial -9xy² + 6x²y - 5x³?

O-9xy² - 6x²y + 5x³
O-9xy²-6x²y-
5x³
9xy² + 6x2y + 5x³
9xy² - 6x²y + 5x³

Answer 1

The additive inverse of the polynomial -9xy² + 6x²y - 5x³ is 9xy² - 6x²y + 5x³.

Step-by-step explanation:

The additive inverse of a polynomial is obtained by changing the sign of each term in the polynomial. In the given polynomial -9xy² + 6x²y - 5x³, the additive inverse would be O-(-9xy²) + (-6x²y) + (-5x³), which simplifies to 9xy² - 6x²y + 5x³.

Answer 2

Step-by-step explanation:

The additive inverse of a polynomial is the polynomial that when added to the original polynomial, results in the zero polynomial.

The additive inverse of the polynomial -9xy² + 6x²y - 5x³ is 9xy² - 6x²y + 5x³

When you add -9xy² + 6x²y - 5x³ and 9xy² - 6x²y + 5x³, you get 0.

-9xy² + 6x²y - 5x³ + 9xy² - 6x²y + 5x³ = 0

So, the additive inverse of the polynomial -9xy² + 6x²y - 5x³ is 9xy² - 6x²y + 5x³