Factor $LaTeX: \displaystyle - 63 x^{3} + 7 x^{2} - 72 x + 8$ .

Factoring out the GCF $LaTeX: \displaystyle -1$ from each term gives $LaTeX: \displaystyle -(63 x^{3} - 7 x^{2} + 72 x - 8)$ . Grouping the first two terms and factoring out their GCF, $LaTeX: \displaystyle 7 x^{2}$ , gives $LaTeX: \displaystyle 7 x^{2}(9 x - 1)$ . Grouping the last two terms and factoring out their GCF, $LaTeX: \displaystyle 8$ , gives $LaTeX: \displaystyle 8(9 x - 1)$ . The polynomial now has a common binomial factor of $LaTeX: \displaystyle 9 x - 1$ . This gives $LaTeX: \displaystyle -1[7 x^{2} \left(9 x - 1\right) +8 \cdot \left(9 x - 1\right)] = -\left(9 x - 1\right) \left(7 x^{2} + 8\right)$ .