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Factorial Polynomials

TABLE 7.8 Second crisscross addition to find third set of values

x p(x) Δ Δ 2 Δ 3 Δ 4 Δ 5

4
−1

3 −16
−17 6
−14 −10 24

−27 30 0
20 24
54

4. Continuation of this procedure produces the complete difference table. This is shown in Table
7.9.

TABLE 7.9 Complete difference table for Example 7.3

x p(x) Δ Δ 2 Δ 3 Δ 4 Δ 5

4

−1
3 −16
−17 6

−14 −10 24
−27 30 0

−41 20 24
−7 54
−48 74

67
19

Numerical Analysis Using MATLAB® and Excel®, Third Edition 7−11
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