\(P=\dfrac{3n+2}{n-1}=\dfrac{3\left(n-1\right)+5}{n-1}\)
\(Để:P\in Z\Rightarrow5⋮n-1\)
\(\Rightarrow n-1\inƯ\left(5\right)=\left\{-1;-5;1;5\right\}\)
n-1 | -1 | -5 | 1 | 5 |
n | 0 | -4 | 2 | 6 |
\(\Rightarrow n=\left\{-4;0;2;6\right\}\)
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