Factor $LaTeX: \displaystyle 16 x^{3} + 14 x^{2} - 32 x - 28$ .

Factoring out the GCF $LaTeX: \displaystyle 2$ from each term gives $LaTeX: \displaystyle 2(8 x^{3} + 7 x^{2} - 16 x - 14)$ . Grouping the first two terms and factoring out their GCF, $LaTeX: \displaystyle x^{2}$ , gives $LaTeX: \displaystyle x^{2}(8 x + 7)$ . Grouping the last two terms and factoring out their GCF, $LaTeX: \displaystyle -2$ , gives $LaTeX: \displaystyle -2(8 x + 7)$ . The polynomial now has a common binomial factor of $LaTeX: \displaystyle 8 x + 7$ . This gives $LaTeX: \displaystyle 2[x^{2} \left(8 x + 7\right) -2 \cdot \left(8 x + 7\right)] = 2\left(8 x + 7\right) \left(x^{2} - 2\right)$ .