what is the additive inverse of the polynomial -9xy² + 6x²y - 5x³?\n-9xy² - 6x²y + 5x³\n-9xy² - 6x²y…
what is the additive inverse of the polynomial -9xy² + 6x²y - 5x³?\n-9xy² - 6x²y + 5x³\n-9xy² - 6x²y - 5x³\n9xy² + 6x²y + 5x³\n9xy² - 6x²y + 5x³
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: Find additive inverse of given polynomial
Given polynomial is (-9xy^{2}+6x^{2}y - 5x^{3}). Changing the sign of each term, we get (9xy^{2}-6x^{2}y + 5x^{3}).
Answer:
D. (9xy^{2}-6x^{2}y + 5x^{3})