Math 6610 • Analysis of Numerical Methods I

{Interpolation}

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

\partitem{b} Let \(f(x)=7x^2+2x+1\). Find the polynomial of degree 3 that
interpolates the values of \(f\) at \(x=-1,0,1,2\).