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