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?

Printable View

- Mar 6th 2010, 07:33 AMnandokommandoFind 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? - Mar 6th 2010, 07:59 AMe^(i*pi)
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