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2\left(3x^{3}-x^{2}+4x\right)
Factor out 2.
x\left(3x^{2}-x+4\right)
Consider 3x^{3}-x^{2}+4x. Factor out x.
2x\left(3x^{2}-x+4\right)
Rewrite the complete factored expression. Polynomial 3x^{2}-x+4 is not factored since it does not have any rational roots.