Factor $LaTeX: \displaystyle - 8 x^{3} + 5 x^{2} - 48 x + 30$ .

Factoring out the GCF $LaTeX: \displaystyle -1$ from each term gives $LaTeX: \displaystyle -(8 x^{3} - 5 x^{2} + 48 x - 30)$ . Grouping the first two terms and factoring out their GCF, $LaTeX: \displaystyle x^{2}$ , gives $LaTeX: \displaystyle x^{2}(8 x - 5)$ . Grouping the last two terms and factoring out their GCF, $LaTeX: \displaystyle 6$ , gives $LaTeX: \displaystyle 6(8 x - 5)$ . The polynomial now has a common binomial factor of $LaTeX: \displaystyle 8 x - 5$ . This gives $LaTeX: \displaystyle -1[x^{2} \left(8 x - 5\right) +6 \cdot \left(8 x - 5\right)] = -\left(8 x - 5\right) \left(x^{2} + 6\right)$ .