\(1,Q\left(x\right)=\dfrac{3x-3\sqrt{x}+3}{\sqrt{x}}=3\sqrt{x}-3+\dfrac{3}{\sqrt{x}}\in Z\\ \Leftrightarrow3⋮\sqrt{x}\Leftrightarrow\sqrt{x}\inƯ\left(3\right)=\left\{1;3\right\}\left(\sqrt{x}>0\right)\\ \Leftrightarrow x\in\left\{1;9\right\}\\ 2,\\ P\left(x\right)=\dfrac{x^2-x+5}{x-1}=x+\dfrac{5}{x-1}\in Z\\ \Leftrightarrow x-1\inƯ\left(5\right)=\left\{-5;-1;1;5\right\}\\ \Leftrightarrow x\in\left\{-4;0;2;6\right\}\)


