What is Newton’s interpolation? Obtain the divided difference table from the following data set and estimate the f(x) at x = 2 and x = 5.
| x | 3.2 | 2.7 | 1.0 | 4.8 | 5.6 |
| f(x) | 22.0 | 17.8 | 14.2 | 38.3 | 51.7 |
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