Math 6610 • Analysis of Numerical Methods I

{Interpolation}

\textbf{a)} State the theorem about the existence and uniqueness of
interpolating polynomial. Give a proof.

\textbf{b)} Let \(f(x)=5x^2+x+1\). Find the polynomial of degree 3 that
interpolates the values of \(f\) at \(x=-1,0,1,2\).

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