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Math Help - remainder theorem question - how to get started

  1. #1
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    remainder theorem question - how to get started

    the question is x^3 + kx + 5 is divided by x-2, the remainder is 3. Use the remainder theorem to find the value of k.

    These are my thoughts so far.
    (x-2) is not a factor (obviously) - so how is it of any use?

    How can I use this information to help find the value of k???
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  2. #2
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    Quote Originally Posted by angypangy View Post
    the question is x^3 + kx + 5 is divided by x-2, the remainder is 3. Use the remainder theorem to find the value of k.

    These are my thoughts so far.
    (x-2) is not a factor (obviously) - so how is it of any use?

    How can I use this information to help find the value of k???
    remainder theorem says f(2) = 3
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  3. #3
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    f(x) = x^3 + kx + 5, we are told that f(2) = 3.

    f(2) = 3 \Rightarrow 8+2k+5 = 3 \Rightarrow 13+2k = 3.
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