Factor $LaTeX: \displaystyle - 90 x^{3} - 70 x^{2} - 45 x - 35$ .

Factoring out the GCF $LaTeX: \displaystyle -5$ from each term gives $LaTeX: \displaystyle -5(18 x^{3} + 14 x^{2} + 9 x + 7)$ . Grouping the first two terms and factoring out their GCF, $LaTeX: \displaystyle 2 x^{2}$ , gives $LaTeX: \displaystyle 2 x^{2}(9 x + 7)$ . Grouping the last two terms and factoring out their GCF, $LaTeX: \displaystyle 1$ , gives $LaTeX: \displaystyle 1(9 x + 7)$ . The polynomial now has a common binomial factor of $LaTeX: \displaystyle 9 x + 7$ . This gives $LaTeX: \displaystyle -5[2 x^{2} \left(9 x + 7\right) +1 \cdot \left(9 x + 7\right)] = -5\left(9 x + 7\right) \left(2 x^{2} + 1\right)$ .