Use Lagrange Interpolation to generate a polynomial, P3(x), of order three for the given points (1, 2), (2, 4), (3, 9), (4, 16). Do NOT simplify the polynomial to the form a1x3 + a2x2 + a3x + a4. Use P3(x) to calculate the value at x = 5.
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We have the points (1, 2), (2, 4), (3, 9), and (4, 16), and we want to find the value of the polynomial at x = 5. Show more…
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