$$-x^{3}-x^{2}+x-1$$
$\left(-x-1\right)\left(3x-1\right)$
$$3\left(-1\right)x^{3-1}+2\left(-1\right)x^{2-1}+x^{1-1}$$
$$-3x^{3-1}+2\left(-1\right)x^{2-1}+x^{1-1}$$
$$-3x^{2}+2\left(-1\right)x^{2-1}+x^{1-1}$$
$$-3x^{2}-2x^{2-1}+x^{1-1}$$
$$-3x^{2}-2x^{1}+x^{1-1}$$
$$-3x^{2}-2x^{1}+x^{0}$$
$$-3x^{2}-2x+x^{0}$$
$$-3x^{2}-2x+1$$
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$-x^{3}-x^{2}+x-1$
