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

Find the equation for the cubic function in the form f(x) = ax³ + bx²+cx + d with the following table and common differences. Solve by creating equations based on the data and manipulating them to solve for the variables.

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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