Factor $LaTeX: \displaystyle - 14 x^{3} + 70 x^{2} - 8 x + 40$ .

Factoring out the GCF $LaTeX: \displaystyle -2$ from each term gives $LaTeX: \displaystyle -2(7 x^{3} - 35 x^{2} + 4 x - 20)$ . Grouping the first two terms and factoring out their GCF, $LaTeX: \displaystyle 7 x^{2}$ , gives $LaTeX: \displaystyle 7 x^{2}(x - 5)$ . Grouping the last two terms and factoring out their GCF, $LaTeX: \displaystyle 4$ , gives $LaTeX: \displaystyle 4(x - 5)$ . The polynomial now has a common binomial factor of $LaTeX: \displaystyle x - 5$ . This gives $LaTeX: \displaystyle -2[7 x^{2} \left(x - 5\right) +4 \cdot \left(x - 5\right)] = -2\left(x - 5\right) \left(7 x^{2} + 4\right)$ .