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x^{4}-3x^{3}-x^{2}-x^{3}+3x
Combine x^{2} and -2x^{2} to get -x^{2}.
x^{4}-4x^{3}-x^{2}+3x
Combine -3x^{3} and -x^{3} to get -4x^{3}.
x\left(x^{3}-3x^{2}+x-x^{2}-2x+3\right)
Factor out x. Polynomial x^{3}-4x^{2}-x+3 is not factored since it does not have any rational roots.