Factor $LaTeX: \displaystyle 8 x^{3} - 16 x^{2} + 5 x - 10$ .

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