Factor $LaTeX: \displaystyle - 24 x^{3} + 60 x^{2} + 4 x - 10$ .

Factoring out the GCF $LaTeX: \displaystyle -2$ from each term gives $LaTeX: \displaystyle -2(12 x^{3} - 30 x^{2} - 2 x + 5)$ . Grouping the first two terms and factoring out their GCF, $LaTeX: \displaystyle 6 x^{2}$ , gives $LaTeX: \displaystyle 6 x^{2}(2 x - 5)$ . Grouping the last two terms and factoring out their GCF, $LaTeX: \displaystyle -1$ , gives $LaTeX: \displaystyle -1(2 x - 5)$ . The polynomial now has a common binomial factor of $LaTeX: \displaystyle 2 x - 5$ . This gives $LaTeX: \displaystyle -2[6 x^{2} \left(2 x - 5\right) -1 \cdot \left(2 x - 5\right)] = -2\left(2 x - 5\right) \left(6 x^{2} - 1\right)$ .