Home /
Expert Answers /
Advanced Math /
0-in-each-part-use-the-lagrange-interpolation-formula-to-construct-the-polynomial-of-smallest-de-pa626
(Solved): 0. In each part, use the Lagrange interpolation formula to construct the polynomial of smallest de ...
0. In each part, use the Lagrange interpolation formula to construct the polynomial of smallest degree whose graph contains the following points. (a) \( (-2,-6),(-1,5),(1,3) \) (b) \( (-4,24),(1,9),(3,3) \) (c) \( (-2,3),(-1,-6),(1,0),(3,-2) \) (d) \( (-3,-30),(-2,7),(0,15),(1,10) \)
Expert Answer
a) x -2 -1 1 y -6 5 3 Lagrange's Interpolating Polynomial Lagrange's Interpolation formula is f(x)=(((x-x1)(x-x2))/((x0-x1)(x0-x2)))×y0+(((x-x0)(x-x2))/((x1-x0)(x1-x2)))×y1+(((x-x0)(x-x1))/((x2-x0)(x2-x1)))×y2 f(x)=(((x+1)(x-1)(/((-2+1)(-2-1)))×-6+(