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NT III Problems not answered in class

 
 
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Re: NT III Problems not answered in class
by Dr. Kevin Wang - Saturday, 27 May 2023, 12:23 AM
 

For 5.30, you can use the following fact (try to prove it): Assume a polynomial $P(x)$ has integer coefficients.  Let $m$ and $n$ be integers, then $P(m)-P(n)$ is divisible by $m-n$.

For the problem itself, find $P(62)-P(19)$, and see what the above fact gives you.