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5x^{4}+4x^{3}+5x^{2}
Combine 3x^{2} and 2x^{2} to get 5x^{2}.
x^{2}\left(5x^{2}+4x+5\right)
Factor out x^{2}. Polynomial 5x^{2}+4x+5 is not factored since it does not have any rational roots.