Online Course Discussion Forum
NT III Problems not answered in class
NT III Problems not answered in class
Hello!
I need some help on 5.30 5.32, and 5.33. For 5.32, I tried using mod 3, but I don't know what else to do. For 5.33, I figured out all (n-2)5+(n-1)5+5n+5(n+1)+5(n+2) works, but when not "consecutive" multiples of 5 are put in, I don't know if it works. At 5.30, I don't know what to do.
Thanks!
Tina Jin
Re: NT III Problems not answered in class
Hello,
Problems 5.32 and 5.33 were answered, but I still need some help on 5.30
Re: NT III Problems not answered in class
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.
Social networks