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5x^{3}-5x-8x^{3}+3x
Combine 3x^{3} and 2x^{3} to get 5x^{3}.
-3x^{3}-5x+3x
Combine 5x^{3} and -8x^{3} to get -3x^{3}.
-3x^{3}-2x
Combine -5x and 3x to get -2x.
x\left(-3x^{2}-2\right)
Factor out x. Polynomial -3x^{2}-2 is not factored since it does not have any rational roots.