The following simple test is one way to determine when a root estimate is accurate enough. Let's say we want four digits of accuracy after the decimal point in our root answer. We assume that our root estimates are converging (i.e. getting better, by homing in on the answer) and that therefore the absolute-value difference between successive roots estimates is monotonically decreasing. Then it's reasonable to assume that we have approximately four digits of accuracy after the decimal point if the absolute-value difference between our current root estimate and the next root estimate is less than 0.0001. You will use this method of error estimation. (hint: this will be your loop boundary condition) Your program will: Read in the initial root estimate, Use a loop to determine the root of the polynomial specified above to the required accuracy. Print the intermediate root solution Print the root of the solution See below for a complete example of the required execution Once you have reached a difference of