$${ x }^{ 3 } -3 { x }^{ 2 } +x+2/x+1$$
$x^{3}-3x^{2}+x+1+\frac{2}{x}$
$$\frac{\left(x^{3}-3x^{2}+x+1\right)x}{x}+\frac{2}{x}$$
$$\frac{\left(x^{3}-3x^{2}+x+1\right)x+2}{x}$$
$$\frac{x^{4}-3x^{3}+x^{2}+x+2}{x}$$
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$\frac{\left(x-2\right)\left(x^{3}-x^{2}-x-1\right)}{x}$
