Use Newton interpolation to find the unique cubic polynomial f that passes through the points (0, 3), (1, 5), (2, 2), (3, 3). If we write f as a linear combination of binomial polynomials f(x) = E a, (*), what is the coefficient a3 ? %3! O 8 O 4 O 9 O 6

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Use Newton interpolation to find the unique cubic polynomial f that passes through the points (0, 3), (1, 5), (2, 2), (3, 3).
If we write f as a linear combination of binomial polynomials f(x) = E a, (*), what is the coefficient a3 ?
%3!
O 8
O 4
O 9
O 6
Transcribed Image Text:Use Newton interpolation to find the unique cubic polynomial f that passes through the points (0, 3), (1, 5), (2, 2), (3, 3). If we write f as a linear combination of binomial polynomials f(x) = E a, (*), what is the coefficient a3 ? %3! O 8 O 4 O 9 O 6
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