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4\left(x^{4}-2x^{3}+3x^{2}\right)
Factor out 4.
x^{2}\left(x^{2}-2x+3\right)
Consider x^{4}-2x^{3}+3x^{2}. Factor out x^{2}.
4x^{2}\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.