Factor $LaTeX: \displaystyle - 4 x^{3} + 3 x^{2} + 20 x - 15$ .

Factoring out the GCF $LaTeX: \displaystyle -1$ from each term gives $LaTeX: \displaystyle -(4 x^{3} - 3 x^{2} - 20 x + 15)$ . Grouping the first two terms and factoring out their GCF, $LaTeX: \displaystyle x^{2}$ , gives $LaTeX: \displaystyle x^{2}(4 x - 3)$ . Grouping the last two terms and factoring out their GCF, $LaTeX: \displaystyle -5$ , gives $LaTeX: \displaystyle -5(4 x - 3)$ . The polynomial now has a common binomial factor of $LaTeX: \displaystyle 4 x - 3$ . This gives $LaTeX: \displaystyle -1[x^{2} \left(4 x - 3\right) -5 \cdot \left(4 x - 3\right)] = -\left(4 x - 3\right) \left(x^{2} - 5\right)$ .