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so if I have a set of data like this and I know that it comes from a polynomial function I can find the degree of the polynomial by looking at the differences the so called first and second and third differences and whenever I get to a point where the difference is constant thats going to be the degree that the polynomial that created it was you will note on my chart here that X is going up by one so we want to see how much Y goes up each time X goes up by one first it goes from negative 18 to negative 4 which is a difference of 14 it goes up by 14 if thats not obvious what it is exactly is the difference between negative four and negative 18 in other words negative four minus negative 18 like this that would make it negative four plus 18 which is why its 14 so I want to go ahead and find all those differences in the same matter for example the difference between two in 12 is 10 I do that for all of them and I still have a lot of variety here so now Im going to need to take the se
