Find the Lagrange and the Newton forms of the interpolating polynomial for these data: -2 0 1 f(x) 1 -1 Write both polynomials in the form a + bx + cx² to verify that they are identical as functions.

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Q5. Find the Lagrange and the Newton forms of the interpolating polynomial for these
data:
-2 0
f(x)
1
1
-1
Write both polynomials in the form a + bx + cx² to verify that they are identical as
functions.
Transcribed Image Text:Q5. Find the Lagrange and the Newton forms of the interpolating polynomial for these data: -2 0 f(x) 1 1 -1 Write both polynomials in the form a + bx + cx² to verify that they are identical as functions.
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