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