Factor $LaTeX: \displaystyle - 36 x^{3} + 4 x^{2} + 90 x - 10$ .

Factoring out the GCF $LaTeX: \displaystyle -2$ from each term gives $LaTeX: \displaystyle -2(18 x^{3} - 2 x^{2} - 45 x + 5)$ . Grouping the first two terms and factoring out their GCF, $LaTeX: \displaystyle 2 x^{2}$ , gives $LaTeX: \displaystyle 2 x^{2}(9 x - 1)$ . Grouping the last two terms and factoring out their GCF, $LaTeX: \displaystyle -5$ , gives $LaTeX: \displaystyle -5(9 x - 1)$ . The polynomial now has a common binomial factor of $LaTeX: \displaystyle 9 x - 1$ . This gives $LaTeX: \displaystyle -2[2 x^{2} \left(9 x - 1\right) -5 \cdot \left(9 x - 1\right)] = -2\left(9 x - 1\right) \left(2 x^{2} - 5\right)$ .