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4\left(3x^{3}+2x^{2}+x\right)
Factor out 4.
x\left(3x^{2}+2x+1\right)
Consider 3x^{3}+2x^{2}+x. Factor out x.
4x\left(3x^{2}+2x+1\right)
Rewrite the complete factored expression. Polynomial 3x^{2}+2x+1 is not factored since it does not have any rational roots.