Factor $LaTeX: \displaystyle 18 x^{3} + 90 x^{2} - 14 x - 70$ .

Factoring out the GCF $LaTeX: \displaystyle 2$ from each term gives $LaTeX: \displaystyle 2(9 x^{3} + 45 x^{2} - 7 x - 35)$ . Grouping the first two terms and factoring out their GCF, $LaTeX: \displaystyle 9 x^{2}$ , gives $LaTeX: \displaystyle 9 x^{2}(x + 5)$ . Grouping the last two terms and factoring out their GCF, $LaTeX: \displaystyle -7$ , gives $LaTeX: \displaystyle -7(x + 5)$ . The polynomial now has a common binomial factor of $LaTeX: \displaystyle x + 5$ . This gives $LaTeX: \displaystyle 2[9 x^{2} \left(x + 5\right) -7 \cdot \left(x + 5\right)] = 2\left(x + 5\right) \left(9 x^{2} - 7\right)$ .