The following table lists an nth order polynomial f(x) = an xn + an - 1 xn - 1 + , .... a1x + a0 and the forward difference evaluated at equally spaced values of x. The order of the polynomial is
| x | f(x) | Δf | Δ2f | Δ3f |
| -0.4 | 1.7648 | -0.2965 | 0.089 | -0.03 |
| -0.3 | 1.4683 | -0.2075 | 0.059 | -0.0228 |
| -0,2 | 1.2608 | -0.1485 | 0.0362 | -0.0156 |
| -0.1 | 1.1123 | -0.1123 | 0.0206 | -0.0084 |
| 0 | 1 | -0.0917 | 0.0122 | -0.0012 |
| 0.1 | 0.9083 | -0.0795 | 0.011 | 0.006 |
| 0.2 | 0.8288 | -0.0685 | 0.017 | 0.0132 |
A. 1
B. 2
C. 3
D. 4
Answer: Option D

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