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Math Help - Find b so that x - 1 is a factor

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    Find b so that x - 1 is a factor

    Find b so that x - 1 is a factor of x^5 + x^4 + x^3 + x^2 + b.

    The answer is -4, I just don't know how to get there. Can anyone give me a step by step?
    Last edited by nandokommando; March 6th 2010 at 08:59 AM.
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  2. #2
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    Quote Originally Posted by nandokommando View Post
    Find b so that x - 1 is a factor of x^5 + x^4 + x^3 + x^2 + b.

    The answer is -4, I just don't know how to get there. Can anyone give me a step by step?
    Use the factor theorem which is stated below

    (x-k) is a factor of the polynomial p(x) if and only if p(k) = 0


    For your example f(1) = 0. To find f(1) substitute 1 wherever you see x in your equation
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