Factor $LaTeX: \displaystyle 8 x^{3} + 48 x^{2} - 3 x - 18$ .

Grouping the first two terms and factoring out their GCF, $LaTeX: \displaystyle 8 x^{2}$ , gives $LaTeX: \displaystyle 8 x^{2}(x + 6)$ . Grouping the last two terms and factoring out their GCF, $LaTeX: \displaystyle -3$ , gives $LaTeX: \displaystyle -3(x + 6)$ . The polynomial now has a common binomial factor of $LaTeX: \displaystyle x + 6$ . This gives $LaTeX: \displaystyle 8 x^{2} \left(x + 6\right) -3 \cdot \left(x + 6\right) = \left(x + 6\right) \left(8 x^{2} - 3\right)$ .