The values of x are I, 3, 4 and those off(x) are I, 27, 64. What is the polynomial equation by using the Lagrange interpolation formula?
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Correct answer: (A) 8x² − 19x + 12
Explanation
Check 8x² − 19x + 12: at x = 1 it gives 1, at x = 3 it gives 72 − 57 + 12 = 27, and at x = 4 it gives 128 − 76 + 12 = 64. It matches all three points.