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; Mar 6th 2010 at 07:59 AM.
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Originally Posted by nandokommando Find b so that $\displaystyle x - 1$ is a factor of $\displaystyle x^5 + x^4 + x^3 + x^2 + b$. 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 $\displaystyle (x-k)$ is a factor of the polynomial $\displaystyle p(x)$ if and only if $\displaystyle p(k) = 0$ For your example $\displaystyle f(1) = 0$. To find f(1) substitute 1 wherever you see x in your equation
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