Question 1 f(x) = e2* – x, x, = 0, x1 = 1.25 and x, = 1.6. !! a. Construct the interpolating polynomial, P2(x), of degree at most 2 for f(x) using given nodes. b. Find the maximum error in using P2(x)...

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Extracted text: Question 1 f(x) = e2* – x, x, = 0, x1 = 1.25 and x, = 1.6. !! a. Construct the interpolating polynomial, P2(x), of degree at most 2 for f(x) using given nodes. b. Find the maximum error in using P2(x) to approximate f(x) on the interval [0,2].