Find the lagrange polynomials that approximate f(x) =x3
a ) Find the linear interpolation polynomial P1(x)using the nodes x0= -1 and x1 = 0
b) Find the quadratic interpolation polynomialP2(x) using the nodesx0= -1 and x1 = 0 and x2 = 1
c) Find the cubic interpolation polynomial P3(x)using the nodes x0= -1 and x1 = 0 andx2 = 1 and x3=2
d) Find the linear interpolation polynomial P1(x)using the nodes x0= 1 and x1 = 2
e) Find the quadratic interpolation polynomial P2(x)using the nodes x0= 0 and x1 = 1 andx2??????? = 2
