(a) Graph the equation y = 3x3 − 12x2 − 15x.(b) On the basis of the graph, how many roots...

(a) Graph the equation y = 3x3 − 12x2 − 15x.

(b) On the basis of the graph, how many roots are there for the equation 3x3 − 12x2 − 15x = 0? Use the graph to estimate these roots. Then compare your estimates to the actual values obtained in Example 3(a).

Example 3(a) Using factoring to solve equations