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