Factor $LaTeX: \displaystyle - 18 x^{3} + 20 x^{2} + 9 x - 10$ .

Factoring out the GCF $LaTeX: \displaystyle -1$ from each term gives $LaTeX: \displaystyle -(18 x^{3} - 20 x^{2} - 9 x + 10)$ . Grouping the first two terms and factoring out their GCF, $LaTeX: \displaystyle 2 x^{2}$ , gives $LaTeX: \displaystyle 2 x^{2}(9 x - 10)$ . Grouping the last two terms and factoring out their GCF, $LaTeX: \displaystyle -1$ , gives $LaTeX: \displaystyle -1(9 x - 10)$ . The polynomial now has a common binomial factor of $LaTeX: \displaystyle 9 x - 10$ . This gives $LaTeX: \displaystyle -1[2 x^{2} \left(9 x - 10\right) -1 \cdot \left(9 x - 10\right)] = -\left(9 x - 10\right) \left(2 x^{2} - 1\right)$ .