Write a Polynomial from its Roots

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In Exercises 1 6, find the interpolating polynomial for the giv... | Filo

SOLVED:(a) Given the data points (1,0),(2, ln2),(4, ln4), find the degree 2 interpolating polynomial. (b) Use the result of (a) to approximate ln3. (c) Use Theorem 3.3 to give an error bound for the approximation in part (b). (d) Compare the actual error to your error bound.

Find the interpolating polynomial p(t)=a0 a1 t a2 t^2 for the data (1,12),(2,15),(3,16) . That is, find a0, a1, and a2 such that a0 a1(1) a2(1)^2=12 a0 a1(2) a2(2)^2=15 a0 a1(3) a2(3)^2=16 | Numerade

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