Question

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

Answer 1

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Below are the choices:

–9xy2 – 6x2y + 5x3
–9xy2 – 6x2y – 5x3
9xy2 + 6x2y + 5x3
9xy2 – 6x2y + 5x3

the answer is 9xy2 – 6x2y + 5x3

Answer 2

You have the polynomial $f(x,y)=-9xy^2 + 6x^2y - 5x^3$.

The additive inverse of a polynomial f(x,y) is a polynomial that makes zero when it added to polynomial f(x,y). So additive inverse of polynomial f(x,y) will be -f(x,y).

Thus, the additive inverse will be

$-f(x,y)=9xy^2-6x^2y+5x^3$.