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x^{2}-\frac{3}{2}x+2
Combine -6x and \frac{9}{2}x to get -\frac{3}{2}x.
\frac{2x^{2}-12x+9x+4}{2}
Factor out \frac{1}{2}. Polynomial 2x^{2}-3x+4 is not factored since it does not have any rational roots.