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10\left(3x^{4}-5x^{2}\right)
Factor out 10.
x^{2}\left(3x^{2}-5\right)
Consider 3x^{4}-5x^{2}. Factor out x^{2}.
10x^{2}\left(3x^{2}-5\right)
Rewrite the complete factored expression. Polynomial 3x^{2}-5 is not factored since it does not have any rational roots.