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4\left(2x^{3}+7x^{2}+22x\right)
Factor out 4.
x\left(2x^{2}+7x+22\right)
Consider 2x^{3}+7x^{2}+22x. Factor out x.
4x\left(2x^{2}+7x+22\right)
Rewrite the complete factored expression. Polynomial 2x^{2}+7x+22 is not factored since it does not have any rational roots.