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x^{2}+6x+\frac{31}{2}
Reduce the fraction \frac{62}{4} to lowest terms by extracting and canceling out 2.
\frac{2x^{2}+12x+31}{2}
Factor out \frac{1}{2}. Polynomial 2x^{2}+12x+31 is not factored since it does not have any rational roots.