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\frac{3}{2}x^{2}-32+3x+40
Combine \frac{1}{2}x^{2} and x^{2} to get \frac{3}{2}x^{2}.
\frac{3}{2}x^{2}+8+3x
Add -32 and 40 to get 8.
\frac{3x^{2}+16+6x}{2}
Factor out \frac{1}{2}. Polynomial 3x^{2}+6x+16 is not factored since it does not have any rational roots.