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\left(3b^{2}-4\right)\left(6b^{2}-5\right)
Find one factor of the form kb^{m}+n, where kb^{m} divides the monomial with the highest power 18b^{4} and n divides the constant factor 20. One such factor is 3b^{2}-4. Factor the polynomial by dividing it by this factor. The following polynomials are not factored since they do not have any rational roots: 6b^{2}-5,3b^{2}-4.