$$3 { x }^{ 4 } -4 { x }^{ 3 } -3x-1/x-1$$
$3x^{4}-4x^{3}-3x-1-\frac{1}{x}$
$$\frac{\left(3x^{4}-4x^{3}-3x-1\right)x}{x}-\frac{1}{x}$$
$$\frac{\left(3x^{4}-4x^{3}-3x-1\right)x-1}{x}$$
$$\frac{3x^{5}-4x^{4}-3x^{2}-x-1}{x}$$
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$\frac{\left(3x^{2}+2x+1\right)\left(x^{3}-2x^{2}+x-1\right)}{x}$
