Factor $LaTeX: \displaystyle 14 x^{3} + 28 x^{2} + 20 x + 40$ .

Factoring out the GCF $LaTeX: \displaystyle 2$ from each term gives $LaTeX: \displaystyle 2(7 x^{3} + 14 x^{2} + 10 x + 20)$ . Grouping the first two terms and factoring out their GCF, $LaTeX: \displaystyle 7 x^{2}$ , gives $LaTeX: \displaystyle 7 x^{2}(x + 2)$ . Grouping the last two terms and factoring out their GCF, $LaTeX: \displaystyle 10$ , gives $LaTeX: \displaystyle 10(x + 2)$ . The polynomial now has a common binomial factor of $LaTeX: \displaystyle x + 2$ . This gives $LaTeX: \displaystyle 2[7 x^{2} \left(x + 2\right) +10 \cdot \left(x + 2\right)] = 2\left(x + 2\right) \left(7 x^{2} + 10\right)$ .