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\left(6b^{4}-5\right)\left(-36b^{8}-30b^{4}-25\right)
Find one factor of the form kb^{m}+n, where kb^{m} divides the monomial with the highest power -216b^{12} and n divides the constant factor 125. One such factor is 6b^{4}-5. Factor the polynomial by dividing it by this factor. The following polynomials are not factored since they do not have any rational roots: -36b^{8}-30b^{4}-25,6b^{4}-5.