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Math Help - Polynomial Long Division

  1. #1
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    Polynomial Long Division

    Determine the value of K such that when:
    f(x) = x^4 + kx^2 - 3x - 5
    is divided by (x-1), the is remainder -10
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  2. #2
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    Quote Originally Posted by B-lap View Post
    Determine the value of K such that when:
    f(x) = x^4 + kx^2 - 3x - 5
    is divided by (x-1), the is remainder -10
    k = -3
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  3. #3
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    Quote Originally Posted by dc52789 View Post
    k = -3
    Reason being, because of the Polynomial Remainder Theorem, the remainder r of a polynomial P(x) when divided by (x-a) is such that r = P(a). Proof of why this happens in the link. It's not definetely NOT complicated, but it's senseless to just glue it here.

    As for your problem, it's a pretty much direct application. You want the remainder of that division to be -10, so f(1) = 10. This leaves you with an equation with one unknown. Now just solve for k.
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