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2\left(5x^{17}+8x^{12}+3x^{10}\right)
Factor out 2.
x^{10}\left(5x^{7}+8x^{2}+3\right)
Consider 5x^{17}+8x^{12}+3x^{10}. Factor out x^{10}.
2x^{10}\left(5x^{7}+8x^{2}+3\right)
Rewrite the complete factored expression. Polynomial 5x^{7}+8x^{2}+3 is not factored since it does not have any rational roots.