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30 July, 00:26

Find the value of c so that the polynomial p (x) is divisible by (x-3).

p (x) = - x^3+cx^2-4x+3

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  1. 30 July, 03:14
    0
    c=4

    Step-by-step explanation:

    If polynomial p (x) is divisible by (x-3), then x=3 is zero of p (x).

    p (x) = -x^3+cx^2-4x+3

    0=p (3) = -3^3 + c*3^2 - 4*3+3

    0=-27+9c-12+3

    0=-27-9+9c

    0=-36+9c

    36=9c

    c=36/9

    c=4
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