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# 08 interpolation lagrange

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• 1. Interpolation Lagrange Interpolation Polynomial
• 2. Lagrange Method
• First, we learned that a polynomial can pass by the points by using a simple polynomial with (n-1) terms.
• Then, we learned a way that “looks like” the Taylor expansion (Newton’s method)
• 3. Lagrange Method (cont’d)
• Now, we will use polynomials that are zero at all points except the one we are evaluating at but in an easier form!
• 4. For the two points
• 6. Homework
• Show that the polynomial obtained by solving a set of equations is equivalent to that obtained by Lagrange method
• 7. For the three points
• 8. Similarly
• 9. Finally