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3x^{4}+2x^{3}-x^{2}-7x^{2}+2x
Combine -x^{3} and 3x^{3} to get 2x^{3}.
3x^{4}+2x^{3}-8x^{2}+2x
Combine -x^{2} and -7x^{2} to get -8x^{2}.
x\left(3x^{3}-x^{2}-x+3x^{2}-7x+2\right)
Factor out x. Polynomial 3x^{3}+2x^{2}-8x+2 is not factored since it does not have any rational roots.