The following table lists an nth order polynomial \(f\left( x \right) = {a_n}{x^n} + {a_{n - 1}}{x^{n - 1}} + \ldots + {a_1}x + {a_0}\) and the forward difference evaluated at equally spaced values of x. The order of the polynomial isxf(x)ΔfΔ2fΔ3f-0.41.7648-0.29650.089-0.03-0.31.4683-0.20750.059-0.0228-0.21.2608-0.14850.0362-0.0156-0.11.1123-0.11230.0206-0.008401-0.09170.0122-0.00120.10.9083-0.07950.0110.0060.20.8288-0.06850.0170.0132

The following table lists an nth order polynomial \(f\left( x \right)

1.	The following table lists an nth order polynomial \(f\left( x \right) = {a_n}{x^n} + {a_{n - 1}}{x^{n - 1}} + \ldots + {a_1}x + {a_0}\) and the forward difference evaluated at equally spaced values of x. The order of the polynomial isxf(x)ΔfΔ2fΔ3f-0.41.7648-0.29650.089-0.03-0.31.4683-0.20750.059-0.0228-0.21.2608-0.14850.0362-0.0156-0.11.1123-0.11230.0206-0.008401-0.09170.0122-0.00120.10.9083-0.07950.0110.0060.20.8288-0.06850.0170.0132
A.	1
B.	2
C.	3
D.	4
Answer» E.