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x^{3}-4x-\frac{4}{3}x-1
Combine -6x and 2x to get -4x.
x^{3}-\frac{16}{3}x-1
Combine -4x and -\frac{4}{3}x to get -\frac{16}{3}x.
\frac{3x^{3}-18x+6x-4x-3}{3}
Factor out \frac{1}{3}. Polynomial 3x^{3}-16x-3 is not factored since it does not have any rational roots.