What is the minimum degree that an interpolating polynomial that fits all five data points exactly can have? The following table data points are given for (x,f(x)): (-0.5,5),(0,15),(0.5,9),(1,3),(1.5,1). I'm not sure where to start. I think there is only one point where f'(x) = 0 but I'm not sure what it says about the degree though.
2026-03-25 22:02:41.1774476161
The minimum degree of interpolating polynomial that fits table data points.
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