Factor $LaTeX: \displaystyle - 36 x^{3} - 12 x^{2} - 42 x - 14$ .

Factoring out the GCF $LaTeX: \displaystyle -2$ from each term gives $LaTeX: \displaystyle -2(18 x^{3} + 6 x^{2} + 21 x + 7)$ . Grouping the first two terms and factoring out their GCF, $LaTeX: \displaystyle 6 x^{2}$ , gives $LaTeX: \displaystyle 6 x^{2}(3 x + 1)$ . Grouping the last two terms and factoring out their GCF, $LaTeX: \displaystyle 7$ , gives $LaTeX: \displaystyle 7(3 x + 1)$ . The polynomial now has a common binomial factor of $LaTeX: \displaystyle 3 x + 1$ . This gives $LaTeX: \displaystyle -2[6 x^{2} \left(3 x + 1\right) +7 \cdot \left(3 x + 1\right)] = -2\left(3 x + 1\right) \left(6 x^{2} + 7\right)$ .