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3\left(9x^{3}-3x^{2}+4x\right)
Factor out 3.
x\left(9x^{2}-3x+4\right)
Consider 9x^{3}-3x^{2}+4x. Factor out x.
3x\left(9x^{2}-3x+4\right)
Rewrite the complete factored expression. Polynomial 9x^{2}-3x+4 is not factored since it does not have any rational roots.