question archive Suppose we want to approximate f(x) on [-1, 1] using a polynomial P(x) of degree 3

Suppose we want to approximate f(x) on [-1, 1] using a polynomial P(x) of degree 3

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Suppose we want to approximate f(x) on [-1, 1] using a polynomial P(x) of degree 3. (1) select the location of
the nodes so that the error max f(x) - P(a) -1<z<1 is small. (2) Then construct an interpolating polynomial
using these 4 nodes. The question of Best Approximation Problem (Numerical Analysis).

pur-new-sol

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