Lagrange Interpolating Polynomial Problem Suppose that the Lagrange polynomial passes through the data points (2, 9), (4, 11) and (5, 13) is given by f(x) = L1(c)1 + L2(2)2 + X L3(x) y3. What is the expression for L₂ (x)? (x+2)(x-5) (x-2)(x-5) a. C. 2 2 (2-x) (5-x) b. d. (2-x)(x-5) 2 2

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.3: Dividing Polynomials
Problem 64E: Finding a Polynomial with Specified Zeros Find a polynomial of the specified degree that has the...
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Lagrange Interpolating Polynomial Problem
Suppose that the Lagrange polynomial passes
through the data points (2, 9), (4, 11) and (5, 13)
is given by f(x)
=
L1(c)1 + L2(2)2 +
X
L3(x) y3.
What is the expression for L₂ (x)?
(x+2)(x-5)
(x-2)(x-5)
a.
C.
2
2
(2-x) (5-x)
b.
d. (2-x)(x-5)
2
2
Transcribed Image Text:Lagrange Interpolating Polynomial Problem Suppose that the Lagrange polynomial passes through the data points (2, 9), (4, 11) and (5, 13) is given by f(x) = L1(c)1 + L2(2)2 + X L3(x) y3. What is the expression for L₂ (x)? (x+2)(x-5) (x-2)(x-5) a. C. 2 2 (2-x) (5-x) b. d. (2-x)(x-5) 2 2
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