Factor $LaTeX: \displaystyle - 48 x^{3} - 18 x^{2} - 80 x - 30$ .

Factoring out the GCF $LaTeX: \displaystyle -2$ from each term gives $LaTeX: \displaystyle -2(24 x^{3} + 9 x^{2} + 40 x + 15)$ . Grouping the first two terms and factoring out their GCF, $LaTeX: \displaystyle 3 x^{2}$ , gives $LaTeX: \displaystyle 3 x^{2}(8 x + 3)$ . Grouping the last two terms and factoring out their GCF, $LaTeX: \displaystyle 5$ , gives $LaTeX: \displaystyle 5(8 x + 3)$ . The polynomial now has a common binomial factor of $LaTeX: \displaystyle 8 x + 3$ . This gives $LaTeX: \displaystyle -2[3 x^{2} \left(8 x + 3\right) +5 \cdot \left(8 x + 3\right)] = -2\left(8 x + 3\right) \left(3 x^{2} + 5\right)$ .