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4x^{2}+\frac{13}{2}x+7
Combine 3x and \frac{7}{2}x to get \frac{13}{2}x.
\frac{8x^{2}+6x+7x+14}{2}
Factor out \frac{1}{2}. Polynomial 8x^{2}+13x+14 is not factored since it does not have any rational roots.