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