A factored polynomial will reveal the solutions of the function because of the fact that you can set the different factors equal to 0.
An unfactored polynomial will not allow you to find the solutions, however it is easier to differentiate in case you wanted to find the turning points.
For your answer though, i recommend you just write about how a factored polynomial will reveal the solutions. (By the way, solutions are where the equation crosses the x-axis.)
Best of luck!