find all polynomial

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find all polynomial

Unread post by jagdish » Wed Mar 23, 2011 6:27 pm

Find all polynomial that satisfy the polynomial equation $xP(x-1) = (x-23)P(x)$

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zadid xcalibured
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Re: find all polynomial

Unread post by zadid xcalibured » Thu Feb 28, 2013 2:50 am

$0$ is obvoiusly a root.Which makes $1$ to be a root that means $2$ is another 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 $P(x)=cx(x-1)(x-2)............(x-25)$

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