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