Factor $LaTeX: \displaystyle - 60 x^{3} + 24 x^{2} - 100 x + 40$ .

Factoring out the GCF $LaTeX: \displaystyle -4$ from each term gives $LaTeX: \displaystyle -4(15 x^{3} - 6 x^{2} + 25 x - 10)$ . Grouping the first two terms and factoring out their GCF, $LaTeX: \displaystyle 3 x^{2}$ , gives $LaTeX: \displaystyle 3 x^{2}(5 x - 2)$ . Grouping the last two terms and factoring out their GCF, $LaTeX: \displaystyle 5$ , gives $LaTeX: \displaystyle 5(5 x - 2)$ . The polynomial now has a common binomial factor of $LaTeX: \displaystyle 5 x - 2$ . This gives $LaTeX: \displaystyle -4[3 x^{2} \left(5 x - 2\right) +5 \cdot \left(5 x - 2\right)] = -4\left(5 x - 2\right) \left(3 x^{2} + 5\right)$ .