Factor $LaTeX: \displaystyle - 10 x^{3} - 80 x^{2} + 9 x + 72$ .

Factoring out the GCF $LaTeX: \displaystyle -1$ from each term gives $LaTeX: \displaystyle -(10 x^{3} + 80 x^{2} - 9 x - 72)$ . Grouping the first two terms and factoring out their GCF, $LaTeX: \displaystyle 10 x^{2}$ , gives $LaTeX: \displaystyle 10 x^{2}(x + 8)$ . Grouping the last two terms and factoring out their GCF, $LaTeX: \displaystyle -9$ , gives $LaTeX: \displaystyle -9(x + 8)$ . The polynomial now has a common binomial factor of $LaTeX: \displaystyle x + 8$ . This gives $LaTeX: \displaystyle -1[10 x^{2} \left(x + 8\right) -9 \cdot \left(x + 8\right)] = -\left(x + 8\right) \left(10 x^{2} - 9\right)$ .