Lagrange Polynomial Interpolation











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We consider the question of polynomial interpolation. If we are given n points in the plane, when can we find a unique polynomial that interpolates them? The answer is given by the Lagrange interpolating polynomial. We show that in order to best approximate a function by polynomials we must minimize a certain special polynomial with appropriately spaced roots. • #mikethemathematician #profdabkowski, #mikedabkowski

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