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7\left(4x^{6}-3x^{3}-14x^{2}\right)
Factor out 7.
x^{2}\left(4x^{4}-3x-14\right)
Consider 4x^{6}-3x^{3}-14x^{2}. Factor out x^{2}.
7x^{2}\left(4x^{4}-3x-14\right)
Rewrite the complete factored expression. Polynomial 4x^{4}-3x-14 is not factored since it does not have any rational roots.