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7\left(x^{6}-3x^{5}+6x^{4}\right)
Factor out 7.
x^{4}\left(x^{2}-3x+6\right)
Consider x^{6}-3x^{5}+6x^{4}. Factor out x^{4}.
7x^{4}\left(x^{2}-3x+6\right)
Rewrite the complete factored expression. Polynomial x^{2}-3x+6 is not factored since it does not have any rational roots.