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10 February, 01:27

What is the additive inverse of the polynomial?

-7y2+x+y=3xy-7x2

0 742 - x+y+3xy+7x2

O 7y2 + x+y + 3xy+7x2

O - 7y2 - x2y=3xy-7x2

0 7²+x²y-3xy-7x²

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  1. 10 February, 01:56
    0
    The additive inverse of the polynomial will be 7y² - x²y + 3xy + 7x²

    Step-by-step explanation:

    The additive inverse of a polynomial will be a polynomial which, when we add to the original polynomial, the result will be 0.

    For example, given the polynomial:

    ax² + bx + c

    Additive inverse:

    -ax² - bx - c

    When we add both polynomials:

    ax² + bx + c - ax² - bx - c = 0

    We have to obtain the additive inverse of the polynomial:

    -7y² + x²y - 3xy - 7x²

    Therefore, the additive inverse of the polynomial will be:

    7y² - x²y + 3xy + 7x²
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