Factor $LaTeX: \displaystyle - 80 x^{3} - 50 x^{2} + 32 x + 20$ .

Factoring out the GCF $LaTeX: \displaystyle -2$ from each term gives $LaTeX: \displaystyle -2(40 x^{3} + 25 x^{2} - 16 x - 10)$ . Grouping the first two terms and factoring out their GCF, $LaTeX: \displaystyle 5 x^{2}$ , gives $LaTeX: \displaystyle 5 x^{2}(8 x + 5)$ . Grouping the last two terms and factoring out their GCF, $LaTeX: \displaystyle -2$ , gives $LaTeX: \displaystyle -2(8 x + 5)$ . The polynomial now has a common binomial factor of $LaTeX: \displaystyle 8 x + 5$ . This gives $LaTeX: \displaystyle -2[5 x^{2} \left(8 x + 5\right) -2 \cdot \left(8 x + 5\right)] = -2\left(8 x + 5\right) \left(5 x^{2} - 2\right)$ .