Factor $LaTeX: \displaystyle - 56 x^{3} - 48 x^{2} - 7 x - 6$ .

Factoring out the GCF $LaTeX: \displaystyle -1$ from each term gives $LaTeX: \displaystyle -(56 x^{3} + 48 x^{2} + 7 x + 6)$ . Grouping the first two terms and factoring out their GCF, $LaTeX: \displaystyle 8 x^{2}$ , gives $LaTeX: \displaystyle 8 x^{2}(7 x + 6)$ . Grouping the last two terms and factoring out their GCF, $LaTeX: \displaystyle 1$ , gives $LaTeX: \displaystyle 1(7 x + 6)$ . The polynomial now has a common binomial factor of $LaTeX: \displaystyle 7 x + 6$ . This gives $LaTeX: \displaystyle -1[8 x^{2} \left(7 x + 6\right) +1 \cdot \left(7 x + 6\right)] = -\left(7 x + 6\right) \left(8 x^{2} + 1\right)$ .