Factor $LaTeX: \displaystyle - 6 x^{3} - 60 x^{2} - 3 x - 30$ .

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