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\left(2b^{2}-3\right)\left(5b^{2}-4\right)
Find one factor of the form kb^{m}+n, where kb^{m} divides the monomial with the highest power 10b^{4} and n divides the constant factor 12. One such factor is 2b^{2}-3. Factor the polynomial by dividing it by this factor. The following polynomials are not factored since they do not have any rational roots: 5b^{2}-4,2b^{2}-3.