Factor $LaTeX: \displaystyle - 20 x^{3} - 14 x^{2} - 60 x - 42$ .

Factoring out the GCF $LaTeX: \displaystyle -2$ from each term gives $LaTeX: \displaystyle -2(10 x^{3} + 7 x^{2} + 30 x + 21)$ . Grouping the first two terms and factoring out their GCF, $LaTeX: \displaystyle x^{2}$ , gives $LaTeX: \displaystyle x^{2}(10 x + 7)$ . Grouping the last two terms and factoring out their GCF, $LaTeX: \displaystyle 3$ , gives $LaTeX: \displaystyle 3(10 x + 7)$ . The polynomial now has a common binomial factor of $LaTeX: \displaystyle 10 x + 7$ . This gives $LaTeX: \displaystyle -2[x^{2} \left(10 x + 7\right) +3 \cdot \left(10 x + 7\right)] = -2\left(10 x + 7\right) \left(x^{2} + 3\right)$ .