If one zero of the polynomial 5×2-(k+2)x+3 is negative of the other, then find k

If one zero of the polynomial 5×2-(k+2)x+3 is negative of the other, then find k

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  1. Answer:

    let the one zero of the polynomial is a

    therefore the other is -a

    polynomial=5x^2-(k+2)x+3

    the sum of the zeros

    a-a=-(k+2)/5

    0=-k-2/5

    -k-2=0

    k=-2

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