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5\left(x^{5}+x^{1}\right)
Factor out 5.
x\left(x^{4}+1\right)
Consider x^{5}+x. Factor out x.
5x\left(x^{4}+1\right)
Rewrite the complete factored expression. Polynomial x^{4}+1 is not factored since it does not have any rational roots.
5x^{5}+5x
Calculate x to the power of 1 and get x.