$$F(x)=0.5 \times (x-2) { \left(x+3 \right) }^{ 2 }$$
$\frac{\left(x-2\right)\left(x+3\right)^{2}}{2}$
$$0.5\left(x-2\right)\left(x^{2}+6x+9\right)$$
$$\left(0.5x-1\right)\left(x^{2}+6x+9\right)$$
$$0.5x^{3}+2x^{2}-1.5x-9$$
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$\frac{x^{3}}{2}+2x^{2}-\frac{3x}{2}-9$
