Factor $LaTeX: \displaystyle - 36 x^{3} + 8 x^{2} - 81 x + 18$ .

Factoring out the GCF $LaTeX: \displaystyle -1$ from each term gives $LaTeX: \displaystyle -(36 x^{3} - 8 x^{2} + 81 x - 18)$ . Grouping the first two terms and factoring out their GCF, $LaTeX: \displaystyle 4 x^{2}$ , gives $LaTeX: \displaystyle 4 x^{2}(9 x - 2)$ . Grouping the last two terms and factoring out their GCF, $LaTeX: \displaystyle 9$ , gives $LaTeX: \displaystyle 9(9 x - 2)$ . The polynomial now has a common binomial factor of $LaTeX: \displaystyle 9 x - 2$ . This gives $LaTeX: \displaystyle -1[4 x^{2} \left(9 x - 2\right) +9 \cdot \left(9 x - 2\right)] = -\left(9 x - 2\right) \left(4 x^{2} + 9\right)$ .