Factor $LaTeX: \displaystyle - 63 x^{3} + 35 x^{2} + 45 x - 25$ .

Factoring out the GCF $LaTeX: \displaystyle -1$ from each term gives $LaTeX: \displaystyle -(63 x^{3} - 35 x^{2} - 45 x + 25)$ . Grouping the first two terms and factoring out their GCF, $LaTeX: \displaystyle 7 x^{2}$ , gives $LaTeX: \displaystyle 7 x^{2}(9 x - 5)$ . Grouping the last two terms and factoring out their GCF, $LaTeX: \displaystyle -5$ , gives $LaTeX: \displaystyle -5(9 x - 5)$ . The polynomial now has a common binomial factor of $LaTeX: \displaystyle 9 x - 5$ . This gives $LaTeX: \displaystyle -1[7 x^{2} \left(9 x - 5\right) -5 \cdot \left(9 x - 5\right)] = -\left(9 x - 5\right) \left(7 x^{2} - 5\right)$ .