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8x^{4}+\frac{13}{2}x^{2}-3x-x+2
Combine 6x^{2} and \frac{1}{2}x^{2} to get \frac{13}{2}x^{2}.
8x^{4}+\frac{13}{2}x^{2}-4x+2
Combine -3x and -x to get -4x.
\frac{16x^{4}+12x^{2}-6x+x^{2}-2x+4}{2}
Factor out \frac{1}{2}. Polynomial 16x^{4}+13x^{2}-8x+4 is not factored since it does not have any rational roots.