Show that the formula Q(P) = n i=1 ci P(xi) cannot have degree of precision greater than
Chapter 4, Problem 4.7.8(choose chapter or problem)
Show that the formula Q(P) = n i=1 ci P(xi) cannot have degree of precision greater than 2n 1, regardless of the choice of c1,... , cn and x1,... , xn . [Hint: Construct a polynomial that has a double root at each of the xis.]
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