Answer to Question #55525 in Discrete Mathematics for Joseph

Question

10 The interpolating polynomial of degree
≤n
with the nodes
x 0 ,x 1 ,…,x n
can be written as



P n (x)=w(x)∑ k→0 n f(x k )(x−x k )(x k )



P n (x)=∑ k→1 n f(x k )(x−x k )w ′ (x k )



P n (x)=∑ k→0 n f(x k )(x−x k )w ′ (x k )


none of the above