APFIVE Polynomial Degree From Constant Differences
For a certain data set, the differences were calculated as follows:
First differences: Varying values
Second differences: Varying values
Third differences: Varying values
Fourth differences: Varying values
Fifth differences: Consistently 120
Which of the following expressions could represent the general form of the polynomial function that models this data?
A
f(x) = ax^4 + bx^3 + cx^2 + dx + e where a ≠ 0
B
f(x) = ax^5 + bx^4 + cx^3 + dx^2 + ex + f where a ≠ 0
C
f(x) = 120x^5 + bx^4 + cx^3 + dx^2 + ex + f
D
f(x) = ax^6 + bx^5 + cx^4 + dx^3 + ex^2 + fx + g
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