Factor $LaTeX: \displaystyle 9 x^{3} - 36 x^{2} - 10 x + 40$ .

Grouping the first two terms and factoring out their GCF, $LaTeX: \displaystyle 9 x^{2}$ , gives $LaTeX: \displaystyle 9 x^{2}(x - 4)$ . Grouping the last two terms and factoring out their GCF, $LaTeX: \displaystyle -10$ , gives $LaTeX: \displaystyle -10(x - 4)$ . The polynomial now has a common binomial factor of $LaTeX: \displaystyle x - 4$ . This gives $LaTeX: \displaystyle 9 x^{2} \left(x - 4\right) -10 \cdot \left(x - 4\right) = \left(x - 4\right) \left(9 x^{2} - 10\right)$ .