Factor $LaTeX: \displaystyle - 40 x^{3} + 10 x^{2} + 32 x - 8$ .

Factoring out the GCF $LaTeX: \displaystyle -2$ from each term gives $LaTeX: \displaystyle -2(20 x^{3} - 5 x^{2} - 16 x + 4)$ . Grouping the first two terms and factoring out their GCF, $LaTeX: \displaystyle 5 x^{2}$ , gives $LaTeX: \displaystyle 5 x^{2}(4 x - 1)$ . Grouping the last two terms and factoring out their GCF, $LaTeX: \displaystyle -4$ , gives $LaTeX: \displaystyle -4(4 x - 1)$ . The polynomial now has a common binomial factor of $LaTeX: \displaystyle 4 x - 1$ . This gives $LaTeX: \displaystyle -2[5 x^{2} \left(4 x - 1\right) -4 \cdot \left(4 x - 1\right)] = -2\left(4 x - 1\right) \left(5 x^{2} - 4\right)$ .