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\left(6x-1\right)\left(-36x^{2}-6x-1\right)
By Rational Root Theorem, all rational roots of a polynomial are in the form \frac{p}{q}, where p divides the constant term 1 and q divides the leading coefficient -216. One such root is \frac{1}{6}. Factor the polynomial by dividing it by 6x-1. Polynomial -36x^{2}-6x-1 is not factored since it does not have any rational roots.