Factor $LaTeX: \displaystyle - 6 x^{3} + 48 x^{2} + 5 x - 40$ .

Factoring out the GCF $LaTeX: \displaystyle -1$ from each term gives $LaTeX: \displaystyle -(6 x^{3} - 48 x^{2} - 5 x + 40)$ . Grouping the first two terms and factoring out their GCF, $LaTeX: \displaystyle 6 x^{2}$ , gives $LaTeX: \displaystyle 6 x^{2}(x - 8)$ . Grouping the last two terms and factoring out their GCF, $LaTeX: \displaystyle -5$ , gives $LaTeX: \displaystyle -5(x - 8)$ . The polynomial now has a common binomial factor of $LaTeX: \displaystyle x - 8$ . This gives $LaTeX: \displaystyle -1[6 x^{2} \left(x - 8\right) -5 \cdot \left(x - 8\right)] = -\left(x - 8\right) \left(6 x^{2} - 5\right)$ .