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\left(2m^{4}-1\right)\left(-4m^{8}-2m^{4}-1\right)
Find one factor of the form km^{n}+p, where km^{n} divides the monomial with the highest power -8m^{12} and p divides the constant factor 1. One such factor is 2m^{4}-1. Factor the polynomial by dividing it by this factor. The following polynomials are not factored since they do not have any rational roots: -4m^{8}-2m^{4}-1,2m^{4}-1.