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## Homework Statement

P(X)=X

^{p-1}*(X-1)

^{p}*...*(X-n)

^{p}

j is an integer between 1 and n;

x a real beatween 0 and 1.

Prove that abs(P(jx))<=(n!)

^{p}

## Homework Equations

## The Attempt at a Solution

I tried to find an inequality for each abs(jx-q) but the problem is that I can't control j*x...

Any clue is welcome!