Factor $LaTeX: \displaystyle - 80 x^{3} + 10 x^{2} - 40 x + 5$ .

Factoring out the GCF $LaTeX: \displaystyle -5$ from each term gives $LaTeX: \displaystyle -5(16 x^{3} - 2 x^{2} + 8 x - 1)$ . Grouping the first two terms and factoring out their GCF, $LaTeX: \displaystyle 2 x^{2}$ , gives $LaTeX: \displaystyle 2 x^{2}(8 x - 1)$ . Grouping the last two terms and factoring out their GCF, $LaTeX: \displaystyle 1$ , gives $LaTeX: \displaystyle 1(8 x - 1)$ . The polynomial now has a common binomial factor of $LaTeX: \displaystyle 8 x - 1$ . This gives $LaTeX: \displaystyle -5[2 x^{2} \left(8 x - 1\right) +1 \cdot \left(8 x - 1\right)] = -5\left(8 x - 1\right) \left(2 x^{2} + 1\right)$ .