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Use the Lagrange interpolation to find a polynomial p(x) of degree at most two such that p(0) = 1, p(1) = 2, and p(2) = 3. %3D Выберите один ответ: a. p(x) = (x – 1)(x – 2) + 2x(2 - x) + 3x(x – 1) b. p(x) = (х-1(х-2) %3D + 2x(2 – x) + x(х-1) 2 2 x(x-1) c. p(x) = (x – 1)(x – 2) + 2x(2 – x) + 3 ) (x-1(x-2) d. p(x) = + 2x(2 x) + x(x-1) 2 e. None of these

Use the Lagrange interpolation to find a polynomial p(x) of degree at most two such that p(0) = 1, p(1) = 2, and p(2) = 3. %3D Выберите один ответ: a. p(x) = (x – 1)(x – 2) + 2x(2 - x) + 3x(x – 1) b. p(x) = (х-1(х-2) %3D + 2x(2 – x) + x(х-1) 2 2 x(x-1) c. p(x) = (x – 1)(x – 2) + 2x(2 – x) + 3 ) (x-1(x-2) d. p(x) = + 2x(2 x) + x(x-1) 2 e. None of these

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter5: Polynomial And Rational Functions
Section: Chapter Questions
Problem 17PT: Given the following information about a polynomial function, find the function. It has a double zero...
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Use the Lagrange interpolation to find a polynomial p(x) of degree at most two such that p(0) = 1, p(1) = 2, and p(2) = 3. %3D %3D Выберите один ответ: a. p(x) = (x - 1)(x – 2) + 2x(2 – x) + 3x(x – 1) O b. p(x) = (x-1)(x-2) + 2x(2 – x) + x(x-1) x(x-1) C. p(x) = (x – )(x – 2) + 2x(2 – x) + 3 O d. p(x) = (x-1X(x-2) a-IKx-2) + + 2x(2 – x) + 3 x-1) 2 е. None of these
Transcribed Image Text:Use the Lagrange interpolation to find a polynomial p(x) of degree at most two such that p(0) = 1, p(1) = 2, and p(2) = 3. %3D %3D Выберите один ответ: a. p(x) = (x - 1)(x – 2) + 2x(2 – x) + 3x(x – 1) O b. p(x) = (x-1)(x-2) + 2x(2 – x) + x(x-1) x(x-1) C. p(x) = (x – )(x – 2) + 2x(2 – x) + 3 O d. p(x) = (x-1X(x-2) a-IKx-2) + + 2x(2 – x) + 3 x-1) 2 е. None of these
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