Find one factor of the form $kx^{m}+n$, where $kx^{m}$ divides the monomial with the highest power $3x^{4}$ and $n$ divides the constant factor $-6$. One such factor is $3x^{2}-2$. Factor the polynomial by dividing it by this factor. The following polynomials are not factored since they do not have any rational roots: $3x^{2}-2,x^{2}+3$.
