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15\left(x^{3}+x^{2}+x\right)
Factor out 15.
x\left(x^{2}+x+1\right)
Consider x^{3}+x^{2}+x. Factor out x.
15x\left(x^{2}+x+1\right)
Rewrite the complete factored expression. Polynomial x^{2}+x+1 is not factored since it does not have any rational roots.