Factor $LaTeX: \displaystyle 70 x^{3} + 7 x^{2} - 60 x - 6$ .

Grouping the first two terms and factoring out their GCF, $LaTeX: \displaystyle 7 x^{2}$ , gives $LaTeX: \displaystyle 7 x^{2}(10 x + 1)$ . Grouping the last two terms and factoring out their GCF, $LaTeX: \displaystyle -6$ , gives $LaTeX: \displaystyle -6(10 x + 1)$ . The polynomial now has a common binomial factor of $LaTeX: \displaystyle 10 x + 1$ . This gives $LaTeX: \displaystyle 7 x^{2} \left(10 x + 1\right) -6 \cdot \left(10 x + 1\right) = \left(10 x + 1\right) \left(7 x^{2} - 6\right)$ .