In each of , n + 1 data points are given. Find the nth

Chapter 3, Problem 2P

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QUESTION:

In each of Problem, n + 1 data points are given. Find the nth degree polynomial y = f(x) that fits these points.(?1, 11) and (2, ?10)

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QUESTION:

In each of Problem, n + 1 data points are given. Find the nth degree polynomial y = f(x) that fits these points.(?1, 11) and (2, ?10)

ANSWER:

SOLUTIONStep 1 of 3Here, we have to find the nth degree polynomial that fits the given points.The given points are and .Since, 2 points are given, we have to find the first degree polynomial.Therefore, the expression of a degree polynomial defined at the point is given by .

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