Answer:
4th degree
Step-by-step explanation:
We can use a technique called finite differences.
In column 1 put the differences between the y values (y2-y1)
Keep adding columns with the differences until they become constant.
Column 2 is column1 differences (-2- -30) etc
Column3 is column 2 differences
Column 4 is column3 differences
The differences in column4 are the same, so we can stop
This will be a 4th degree polynomial
x y column 1 column 2 column 3 column 4
-2 30
-1 0 -30
0 -2 -2 28
1 0 2 4 -24
2 30 30 28 24 48
3 160 130 100 72 48
4 510 350 220 120 48
