find all polynomial
Posted: Wed Mar 23, 2011 6:27 pm
Find all polynomial that satisfy the polynomial equation $xP(x-1) = (x-23)P(x)$
$0$ is obvoiusly a root.Which makes $1$ to be a root that means $2$ is another root......................at last $25$ is a root.
So $P(x)=x(x-1)(x-2).................(x-25)Q(x)$
Plugging this into the original equation $Q(x-1)=Q(x)=c$
So $P(x)=cx(x-1)(x-2)............(x-25)$