Factor $LaTeX: \displaystyle 18 x^{3} + 15 x^{2} - 12 x - 10$ .

Grouping the first two terms and factoring out their GCF, $LaTeX: \displaystyle 3 x^{2}$ , gives $LaTeX: \displaystyle 3 x^{2}(6 x + 5)$ . Grouping the last two terms and factoring out their GCF, $LaTeX: \displaystyle -2$ , gives $LaTeX: \displaystyle -2(6 x + 5)$ . The polynomial now has a common binomial factor of $LaTeX: \displaystyle 6 x + 5$ . This gives $LaTeX: \displaystyle 3 x^{2} \left(6 x + 5\right) -2 \cdot \left(6 x + 5\right) = \left(6 x + 5\right) \left(3 x^{2} - 2\right)$ .