Show that the formula QiP) = Xw=i Q Pix,) cannot have degree of precision greater than
Chapter 4, Problem 14(choose chapter or problem)
Show that the formula QiP) = Xw=i Q Pix,) cannot have degree of precision greater than 2n 1, regardless ofthe choice ofC|,... , c and x\,... ,xn. [Hint: Construct a polynomial that has a double root at each ofthe x, 's.J
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