Gregory-Newton forward difference approach is applicable for a data set with a sequence of equally spaced points. Gregory-Newton backward difference approach is applicable when the data size is big and the divided difference table is too long. Given here is the Gregory Newton formula to calculate the Newton Forward difference. Make use of the below Newton forward difference formula to solve your polynomial equation based on the Gregory Newton formula.
Use the given Gregory Newton formula to calculate the Gregory-Newton chart and the f(x). You can also click on the Gregory Newton calculator link under the related calculator section and to check your result.