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9\left(3x^{3}+x\right)
Factor out 9.
x\left(3x^{2}+1\right)
Consider 3x^{3}+x. Factor out x.
9x\left(3x^{2}+1\right)
Rewrite the complete factored expression. Polynomial 3x^{2}+1 is not factored since it does not have any rational roots.