Factor $LaTeX: \displaystyle - 18 x^{3} - 2 x^{2} - 36 x - 4$ .

Factoring out the GCF $LaTeX: \displaystyle -2$ from each term gives $LaTeX: \displaystyle -2(9 x^{3} + x^{2} + 18 x + 2)$ . Grouping the first two terms and factoring out their GCF, $LaTeX: \displaystyle x^{2}$ , gives $LaTeX: \displaystyle x^{2}(9 x + 1)$ . Grouping the last two terms and factoring out their GCF, $LaTeX: \displaystyle 2$ , gives $LaTeX: \displaystyle 2(9 x + 1)$ . The polynomial now has a common binomial factor of $LaTeX: \displaystyle 9 x + 1$ . This gives $LaTeX: \displaystyle -2[x^{2} \left(9 x + 1\right) +2 \cdot \left(9 x + 1\right)] = -2\left(9 x + 1\right) \left(x^{2} + 2\right)$ .