Step 1 Step 2 \(\displaystyle{2}{x}^{{{3}}}-{5}{x}^{{{2}}}-{x}+{6}{>}{0}\) To solve graphically we graph \(\displaystyle{f{{\left({x}\right)}}}={2}{x}^{{{3}}}-{5}{x}^{{{2}}}-{x}+{6}\). A 3rd degree polinomial can have up to 3 zeros, so make sure you can see all the important parts of the graph. We find zeros at: \(\displaystyle{x}=-{1},{1.5},{2}\) For the inequality, they want \(\displaystyle{f{{\left({x}\right)}}}{>}{0}\), which are the parts of the graph above the x-axis. We can see from the graph they are the intervals. Answer: \(\displaystyle{\left(-{1},{1.5}\right)}\cup{\left({2},\infty\right)}\)