Factor $LaTeX: \displaystyle 28 x^{3} - 70 x^{2} - 28 x + 70$ .

Factoring out the GCF $LaTeX: \displaystyle 14$ from each term gives $LaTeX: \displaystyle 14(2 x^{3} - 5 x^{2} - 2 x + 5)$ . Grouping the first two terms and factoring out their GCF, $LaTeX: \displaystyle x^{2}$ , gives $LaTeX: \displaystyle x^{2}(2 x - 5)$ . Grouping the last two terms and factoring out their GCF, $LaTeX: \displaystyle -1$ , gives $LaTeX: \displaystyle -1(2 x - 5)$ . The polynomial now has a common binomial factor of $LaTeX: \displaystyle 2 x - 5$ . This gives $LaTeX: \displaystyle 14[x^{2} \left(2 x - 5\right) -1 \cdot \left(2 x - 5\right)] = 14\left(2 x - 5\right) \left(x^{2} - 1\right)$ . The quadratic factor can be factored using the difference of squares to give $LaTeX: \displaystyle 14\left(x - 1\right) \left(x + 1\right) \left(2 x - 5\right).$