Factor $LaTeX: \displaystyle - 30 x^{3} + 50 x^{2} + 3 x - 5$ .

Factoring out the GCF $LaTeX: \displaystyle -1$ from each term gives $LaTeX: \displaystyle -(30 x^{3} - 50 x^{2} - 3 x + 5)$ . Grouping the first two terms and factoring out their GCF, $LaTeX: \displaystyle 10 x^{2}$ , gives $LaTeX: \displaystyle 10 x^{2}(3 x - 5)$ . Grouping the last two terms and factoring out their GCF, $LaTeX: \displaystyle -1$ , gives $LaTeX: \displaystyle -1(3 x - 5)$ . The polynomial now has a common binomial factor of $LaTeX: \displaystyle 3 x - 5$ . This gives $LaTeX: \displaystyle -1[10 x^{2} \left(3 x - 5\right) -1 \cdot \left(3 x - 5\right)] = -\left(3 x - 5\right) \left(10 x^{2} - 1\right)$ .