SOLUTION: What polynomial of minimum degree fits the data? x -7 -2 2 4 y 42 7 15 31 y= ?

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Question 936323: What polynomial of minimum degree fits the data?
x -7 -2 2 4
y 42 7 15 31
y= ?
Found 2 solutions by reviewermath, MathLover1:
Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
The minimum degree is 2 and the equation is highlight%28y=x%5E2%2B2x%2B7%29

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
given:
x| -7|+-2|+2|+4|
y| 42| 7| 15| 31|
f%28x%29=%28x-x%5B1%5D%29%28x-x%5B2%5D%29%28x-x%5B3%5D%29%28x-x%5B4%5D%29
f%28x%29=%28x%2B7%29%28x%2B2%29%28x-2%29%28x-4%29
f%28x%29=%28x%5E2%2B2x%2B7x%2B14%29%28x%5E2-4x-2x%2B8%29
f%28x%29=%28x%5E2%2B9x%2B14%29%28x%5E2-6x%2B8%29
f%28x%29=x%5E4%2B9x%5E3%2B14x%5E2-6x%5E3-54x%5E2-84x%2B8x%5E2%2B72x%2B112
f%28x%29=x%5E4%2B3x%5E3-32x%5E2-12x%2B112...a polynomial of minimum degree that fits the data