Approximate the value of $f$ in $x=1$, interpolating with polynomial of second degree with nodes: $x_0=-2,\ x_1=0,\ x_2=2$.
Then approximate it with another polynominal, interpolating with nodes: $x_0=-2,\ x_1=0,\ x_2=2,\ x_3=-3,\ x_4=3,\ x_5=-4,\ x_6=4$
Calculate the error in both cases.
Of course this exercise is pretty trivial, but there is an additional condition: I can use division only 4 times doing it. Additionally I am supposed to use either Lagrange's or Newton's method of interpolation.
Can you please tell me what trick can I use to reduce the number of divisions?