Question

please help me solve part (c).

2,U2 1, x2 = 2 and yo = 0,31 0 3. Given the data x0 y for the polyno- a) (15 pts) Set up the Vandermonde system Vc mial interpolant p(x) = co + C1x + c2x2 such that p(zi) = yi, 2 0,1,2 b) (15 pts) Find the solution of the system and sketch y px) c) (15 pts) Write down the Lagrange form of the interpolating poly- nomial and simplify the result.

Answer 1

We know tR过 Lagrange form of te mtepolet (1-0) (1-2) X(x-2) (-リ 9-0 (2-1