Factor $LaTeX: \displaystyle 20 x^{3} + 36 x^{2} - 35 x - 63$ .

Grouping the first two terms and factoring out their GCF, $LaTeX: \displaystyle 4 x^{2}$ , gives $LaTeX: \displaystyle 4 x^{2}(5 x + 9)$ . Grouping the last two terms and factoring out their GCF, $LaTeX: \displaystyle -7$ , gives $LaTeX: \displaystyle -7(5 x + 9)$ . The polynomial now has a common binomial factor of $LaTeX: \displaystyle 5 x + 9$ . This gives $LaTeX: \displaystyle 4 x^{2} \left(5 x + 9\right) -7 \cdot \left(5 x + 9\right) = \left(5 x + 9\right) \left(4 x^{2} - 7\right)$ .