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10\left(-x^{5}-2x^{3}\right)
Factor out 10.
x^{3}\left(-x^{2}-2\right)
Consider -x^{5}-2x^{3}. Factor out x^{3}.
10x^{3}\left(-x^{2}-2\right)
Rewrite the complete factored expression. Polynomial -x^{2}-2 is not factored since it does not have any rational roots.