Question: Given the following data points: ( -2, -2 ) , ( -1 , 4 ) , ( 0 , 1 ) , ( 4 ,

Given the following data points: ( -2, -2 ) , ( -1 , 4 ) , ( 0 , 1 ) , ( 4 , 8 ) determine the 3rd degree Lagrange polynomial Write the coefficients of the polynomial. (Put a negative sign if necessary). Express all coefficients with 4 decimal places.(i.e. -0.0321). If the coefficient is an integer, put a decimal point and 4 zeros.(i.e. 6.0000) f(x)=___x^3+__x^2+___x+___

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