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Use Lagrange interpolation to find the polynomial p3(x) of degree 3 or less, that agree with...

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Programming

Use Lagrange interpolation to find the polynomial p3(x) ofdegree 3 or less, that agree with the following data: p3(−1) = 3,p3(0) = −4, p3(1) = 5, and p3(2) = −6.

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The Lagranges Interpolation formulaIf y fx takes the values y0 y1 yn corresponding to x x0 x1 xn thenThis method is preferred over its counterparts like Newtonsmethod because it is applicable even for unequally spaced    See Answer
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