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3\left(8x^{3}+7x\right)
Factor out 3.
x\left(8x^{2}+7\right)
Consider 8x^{3}+7x. Factor out x.
3x\left(8x^{2}+7\right)
Rewrite the complete factored expression. Polynomial 8x^{2}+7 is not factored since it does not have any rational roots.