Solution Found!
In each part, use the Lagrange interpolation formula to construct the polynomial of
Chapter 1, Problem 10(choose chapter or problem)
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)
Questions & Answers
QUESTION:
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)
ANSWER:Step 1 of 4
Given: The points are:
a.
b.
c.
d.
a)
Assume first coordinate as and the second coordinates of the given points by .
Now find Lagrange polynomial as:
Thus, the polynomial is as following: