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(Solved): EXTRA PROBLEM (4 Pts.): Let Printerpolate F At N + 1 Distinct Points. Consider Pa In Its Lagrange An ...


EXTRA PROBLEM (4 pts.): Let Printerpolate f at n + 1 distinct points. Consider Pa in its Lagrange and Newton forms P.(x) = {4
EXTRA PROBLEM (4 pts.): Let Printerpolate f at n + 1 distinct points. Consider Pa in its Lagrange and Newton forms P.(x) = {4, II (2 – «) = II – ") *** 0 0 0 0 with a; -f(x) 110, 1/(x; - **) and c- 70,...,x,]. Suppose that we will evaluate Pn many times for different values of r. Thus, we can precompute the values of a, and c, and then can use them without any cost. For both forms, propose efficient in terms of arithmetic operations) algorithms for computing Pn(a). Which form admits less expensive algorithm?

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