Question: Find the equation for the cubic function in the form f(x) = ax 3 + bx 2 + cx + d with the following table

Find the equation for the cubic function in the form f(x) = ax3 + bx2 + cx + d with the following table of values and common differences.

x f(x) delta f(x) delta 2 f(x) delta 3 f(x)

1 10 -10 10 6

2 0 0 16 6

3 0 16 22 6

4 16 38 28

5 54 66

6 120

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