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Math Help - remainder theorem

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    remainder theorem

    1. determine the value of k when x^3+kx^2+2x-3 is divided by (x-1) and the remainder is 2
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  2. #2
    Air
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    Quote Originally Posted by william View Post
    1. determine the value of k when x^3+kx^2+2x-3 is divided by (x-1) and the remainder is 2
    f(x) = x^3+kx^2+2x-3

    The root of the factor (x-1) is 1.

    f(1) = 1^3+k(1)^2+2(1)-3 =2 \rightarrow k=2.
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