Factor $LaTeX: \displaystyle - 7 x^{3} - 49 x^{2} - 4 x - 28$ .

Factoring out the GCF $LaTeX: \displaystyle -1$ from each term gives $LaTeX: \displaystyle -(7 x^{3} + 49 x^{2} + 4 x + 28)$ . Grouping the first two terms and factoring out their GCF, $LaTeX: \displaystyle 7 x^{2}$ , gives $LaTeX: \displaystyle 7 x^{2}(x + 7)$ . Grouping the last two terms and factoring out their GCF, $LaTeX: \displaystyle 4$ , gives $LaTeX: \displaystyle 4(x + 7)$ . The polynomial now has a common binomial factor of $LaTeX: \displaystyle x + 7$ . This gives $LaTeX: \displaystyle -1[7 x^{2} \left(x + 7\right) +4 \cdot \left(x + 7\right)] = -\left(x + 7\right) \left(7 x^{2} + 4\right)$ .