Factor $LaTeX: \displaystyle 35 x^{3} - 40 x^{2} - 7 x + 8$ .

Grouping the first two terms and factoring out their GCF, $LaTeX: \displaystyle 5 x^{2}$ , gives $LaTeX: \displaystyle 5 x^{2}(7 x - 8)$ . 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 $LaTeX: \displaystyle 5 x^{2} \left(7 x - 8\right) -1 \cdot \left(7 x - 8\right) = \left(7 x - 8\right) \left(5 x^{2} - 1\right)$ .