Factor $LaTeX: \displaystyle - 40 x^{3} - 4 x^{2} - 20 x - 2$ .

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