Factor $LaTeX: \displaystyle 80 x^{3} - 48 x^{2} + 50 x - 30$ .

Factoring out the GCF $LaTeX: \displaystyle 2$ from each term gives $LaTeX: \displaystyle 2(40 x^{3} - 24 x^{2} + 25 x - 15)$ . Grouping the first two terms and factoring out their GCF, $LaTeX: \displaystyle 8 x^{2}$ , gives $LaTeX: \displaystyle 8 x^{2}(5 x - 3)$ . Grouping the last two terms and factoring out their GCF, $LaTeX: \displaystyle 5$ , gives $LaTeX: \displaystyle 5(5 x - 3)$ . The polynomial now has a common binomial factor of $LaTeX: \displaystyle 5 x - 3$ . This gives $LaTeX: \displaystyle 2[8 x^{2} \left(5 x - 3\right) +5 \cdot \left(5 x - 3\right)] = 2\left(5 x - 3\right) \left(8 x^{2} + 5\right)$ .