Factor $LaTeX: \displaystyle 3 x^{3} - 24 x^{2} - 2 x + 16$ .

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