Factor $LaTeX: \displaystyle - 49 x^{3} + 56 x^{2} - 7 x + 8$ .

Factoring out the GCF $LaTeX: \displaystyle -1$ from each term gives $LaTeX: \displaystyle -(49 x^{3} - 56 x^{2} + 7 x - 8)$ . Grouping the first two terms and factoring out their GCF, $LaTeX: \displaystyle 7 x^{2}$ , gives $LaTeX: \displaystyle 7 x^{2}(7 x - 8)$ . Grouping the last two terms and factoring out their GCF, $LaTeX: \displaystyle 1$ , gives $LaTeX: \displaystyle 1(7 x - 8)$ . The polynomial now has a common binomial factor of $LaTeX: \displaystyle 7 x - 8$ . This gives $LaTeX: \displaystyle -1[7 x^{2} \left(7 x - 8\right) +1 \cdot \left(7 x - 8\right)] = -\left(7 x - 8\right) \left(7 x^{2} + 1\right)$ .