Factor $LaTeX: \displaystyle - 30 x^{3} - 20 x^{2} - 24 x - 16$ .

Factoring out the GCF $LaTeX: \displaystyle -2$ from each term gives $LaTeX: \displaystyle -2(15 x^{3} + 10 x^{2} + 12 x + 8)$ . Grouping the first two terms and factoring out their GCF, $LaTeX: \displaystyle 5 x^{2}$ , gives $LaTeX: \displaystyle 5 x^{2}(3 x + 2)$ . Grouping the last two terms and factoring out their GCF, $LaTeX: \displaystyle 4$ , gives $LaTeX: \displaystyle 4(3 x + 2)$ . The polynomial now has a common binomial factor of $LaTeX: \displaystyle 3 x + 2$ . This gives $LaTeX: \displaystyle -2[5 x^{2} \left(3 x + 2\right) +4 \cdot \left(3 x + 2\right)] = -2\left(3 x + 2\right) \left(5 x^{2} + 4\right)$ .