Factor $LaTeX: \displaystyle - 10 x^{3} - 8 x^{2} - 20 x - 16$ .

Factoring out the GCF $LaTeX: \displaystyle -2$ from each term gives $LaTeX: \displaystyle -2(5 x^{3} + 4 x^{2} + 10 x + 8)$ . Grouping the first two terms and factoring out their GCF, $LaTeX: \displaystyle x^{2}$ , gives $LaTeX: \displaystyle x^{2}(5 x + 4)$ . Grouping the last two terms and factoring out their GCF, $LaTeX: \displaystyle 2$ , gives $LaTeX: \displaystyle 2(5 x + 4)$ . The polynomial now has a common binomial factor of $LaTeX: \displaystyle 5 x + 4$ . This gives $LaTeX: \displaystyle -2[x^{2} \left(5 x + 4\right) +2 \cdot \left(5 x + 4\right)] = -2\left(5 x + 4\right) \left(x^{2} + 2\right)$ .