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5\left(x^{2}-2x^{3}+4x^{4}\right)
Factor out 5.
x^{2}\left(1-2x+4x^{2}\right)
Consider x^{2}-2x^{3}+4x^{4}. Factor out x^{2}.
5x^{2}\left(1-2x+4x^{2}\right)
Rewrite the complete factored expression. Polynomial 1-2x+4x^{2} is not factored since it does not have any rational roots.