Factor $LaTeX: \displaystyle - 80 x^{3} + 50 x^{2} + 24 x - 15$ .

Factoring out the GCF $LaTeX: \displaystyle -1$ from each term gives $LaTeX: \displaystyle -(80 x^{3} - 50 x^{2} - 24 x + 15)$ . Grouping the first two terms and factoring out their GCF, $LaTeX: \displaystyle 10 x^{2}$ , gives $LaTeX: \displaystyle 10 x^{2}(8 x - 5)$ . Grouping the last two terms and factoring out their GCF, $LaTeX: \displaystyle -3$ , gives $LaTeX: \displaystyle -3(8 x - 5)$ . The polynomial now has a common binomial factor of $LaTeX: \displaystyle 8 x - 5$ . This gives $LaTeX: \displaystyle -1[10 x^{2} \left(8 x - 5\right) -3 \cdot \left(8 x - 5\right)] = -\left(8 x - 5\right) \left(10 x^{2} - 3\right)$ .