Polynomial Degree From Constant Differences
For a given data set, the first through fourth successive differences are variable. The fifth successive differences are constant and equal to 120. Which of the following expressions could represent the polynomial function that models this data?
A
f(x) = 120x^5 + bx^4 + cx^3 + dx^2 + ex + f
B
f(x) = ax^6 + bx^5 + cx^4 + dx^3 + ex^2 + fx + g
C
f(x) = ax^4 + bx^3 + cx^2 + dx + e where a ≠ 0
D
f(x) = ax^5 + bx^4 + cx^3 + dx^2 + ex + f where a ≠ 0
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