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

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