Factor $LaTeX: \displaystyle - 90 x^{3} - 80 x^{2} - 36 x - 32$ .

Factoring out the GCF $LaTeX: \displaystyle -2$ from each term gives $LaTeX: \displaystyle -2(45 x^{3} + 40 x^{2} + 18 x + 16)$ . Grouping the first two terms and factoring out their GCF, $LaTeX: \displaystyle 5 x^{2}$ , gives $LaTeX: \displaystyle 5 x^{2}(9 x + 8)$ . Grouping the last two terms and factoring out their GCF, $LaTeX: \displaystyle 2$ , gives $LaTeX: \displaystyle 2(9 x + 8)$ . The polynomial now has a common binomial factor of $LaTeX: \displaystyle 9 x + 8$ . This gives $LaTeX: \displaystyle -2[5 x^{2} \left(9 x + 8\right) +2 \cdot \left(9 x + 8\right)] = -2\left(9 x + 8\right) \left(5 x^{2} + 2\right)$ .