Factor $LaTeX: \displaystyle 90 x^{3} - 18 x^{2} + 80 x - 16$ .

Factoring out the GCF $LaTeX: \displaystyle 2$ from each term gives $LaTeX: \displaystyle 2(45 x^{3} - 9 x^{2} + 40 x - 8)$ . Grouping the first two terms and factoring out their GCF, $LaTeX: \displaystyle 9 x^{2}$ , gives $LaTeX: \displaystyle 9 x^{2}(5 x - 1)$ . Grouping the last two terms and factoring out their GCF, $LaTeX: \displaystyle 8$ , gives $LaTeX: \displaystyle 8(5 x - 1)$ . The polynomial now has a common binomial factor of $LaTeX: \displaystyle 5 x - 1$ . This gives $LaTeX: \displaystyle 2[9 x^{2} \left(5 x - 1\right) +8 \cdot \left(5 x - 1\right)] = 2\left(5 x - 1\right) \left(9 x^{2} + 8\right)$ .