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2x^{3}-2+3x-x+4
Combine 3x^{3} and -x^{3} to get 2x^{3}.
2x^{3}-2+2x+4
Combine 3x and -x to get 2x.
2x^{3}+2+2x
Add -2 and 4 to get 2.
2x^{3}+2x+2
Multiply and combine like terms.
2\left(x^{3}+x+1\right)
Factor out 2. Polynomial x^{3}+x+1 is not factored since it does not have any rational roots.