Factor $LaTeX: \displaystyle 28 x^{3} - 24 x^{2} + 14 x - 12$ .

Factoring out the GCF $LaTeX: \displaystyle 2$ from each term gives $LaTeX: \displaystyle 2(14 x^{3} - 12 x^{2} + 7 x - 6)$ . Grouping the first two terms and factoring out their GCF, $LaTeX: \displaystyle 2 x^{2}$ , gives $LaTeX: \displaystyle 2 x^{2}(7 x - 6)$ . Grouping the last two terms and factoring out their GCF, $LaTeX: \displaystyle 1$ , gives $LaTeX: \displaystyle 1(7 x - 6)$ . The polynomial now has a common binomial factor of $LaTeX: \displaystyle 7 x - 6$ . This gives $LaTeX: \displaystyle 2[2 x^{2} \left(7 x - 6\right) +1 \cdot \left(7 x - 6\right)] = 2\left(7 x - 6\right) \left(2 x^{2} + 1\right)$ .