Factor $LaTeX: \displaystyle - 60 x^{3} - 40 x^{2} + 6 x + 4$ .

Factoring out the GCF $LaTeX: \displaystyle -2$ from each term gives $LaTeX: \displaystyle -2(30 x^{3} + 20 x^{2} - 3 x - 2)$ . Grouping the first two terms and factoring out their GCF, $LaTeX: \displaystyle 10 x^{2}$ , gives $LaTeX: \displaystyle 10 x^{2}(3 x + 2)$ . Grouping the last two terms and factoring out their GCF, $LaTeX: \displaystyle -1$ , gives $LaTeX: \displaystyle -1(3 x + 2)$ . The polynomial now has a common binomial factor of $LaTeX: \displaystyle 3 x + 2$ . This gives $LaTeX: \displaystyle -2[10 x^{2} \left(3 x + 2\right) -1 \cdot \left(3 x + 2\right)] = -2\left(3 x + 2\right) \left(10 x^{2} - 1\right)$ .