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Math Help - x^3+kx+7 is divided by (x-2) ....

  1. #1
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    x^3+kx+7 is divided by (x-2) ....

    the remainder is 3. find the value of k.


    thanks in advanced
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  2. #2
    Moo
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    Hello,
    Quote Originally Posted by coyoteflare View Post
    the remainder is 3. find the value of k.


    thanks in advanced
    We have P(x)=x^3+kx+7
    So there exists a polynomial Q(x) such that :
    P(x)=Q(x)(x-2)+3

    One simple way to solve it is to let x=2
    So we have :
    P(2)=Q(2)(2-2)+3=3

    (2)^3+2k+7=3

    8+2k+7=3

    k=\dots
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