SOLUTION: What polynomial of minimum degree fits the data? x -2 2 3 5 y -61 -21 4 240 y= ?

Question 936321: What polynomial of minimum degree fits the data?
x -2 2 3 5
y -61 -21 4 240
y= ?
Answer by AnlytcPhil(1810) (Show Source): You can put this solution on YOUR website!

There are 4 points,
(-2,61)  (2,-21)  (3,4)  (5,240)

so we need a polynomial that has 4 
unknown coefficients,   



so we can substitute each of those 
4 points in it:






Simplifying each:






Simplifying further:






Put the constants on tyhe right



Solve that system and get A=4, B=-9, C=-6, D=-5

If you have trouble solving that system, post again.

So



becomes



Edwin

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