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7\left(5x^{4}+2x^{2}\right)
Factor out 7.
x^{2}\left(5x^{2}+2\right)
Consider 5x^{4}+2x^{2}. Factor out x^{2}.
7x^{2}\left(5x^{2}+2\right)
Rewrite the complete factored expression. Polynomial 5x^{2}+2 is not factored since it does not have any rational roots.