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
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa2c88678-b29e-4eed-8476-4159ca08c173%2F2cb5bce3-5bef-437e-90c6-e267ce2fd8c2%2F4pive3_processed.jpeg&w=3840&q=75)
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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