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6\left(x^{5}-2x^{4}+3x^{3}\right)
Factor out 6.
x^{3}\left(x^{2}-2x+3\right)
Consider x^{5}-2x^{4}+3x^{3}. Factor out x^{3}.
6x^{3}\left(x^{2}-2x+3\right)
Rewrite the complete factored expression. Polynomial x^{2}-2x+3 is not factored since it does not have any rational roots.