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50\left(x^{3}-4x^{2}+2x-8\right)
Factor out 50.
x^{2}\left(x-4\right)+2\left(x-4\right)
Consider x^{3}-4x^{2}+2x-8. Do the grouping x^{3}-4x^{2}+2x-8=\left(x^{3}-4x^{2}\right)+\left(2x-8\right), and factor out x^{2} in the first and 2 in the second group.
\left(x-4\right)\left(x^{2}+2\right)
Factor out common term x-4 by using distributive property.
50\left(x-4\right)\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.