Question: (3 pts) Let {xo, . .. , Xk) be k + 1 distinct nodes and f : R - R be a function. Show that

(3 pts) Let {xo, . .. , Xk) be k + 1 distinct nodes and f : R - R be a function. Show that x - CO X - Ck Pk (20 ) = 9 (a ) + PK-1(20 ) , Ck - Co Co - Ck where Pk(), PK-1 (x), q(x) are the interpolating polynomials of f of degree

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