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If f is a polynomial of degree 3, such that f(0) = f(2) = f(3) = 1 and f(1) = 0, find f(4).

 Oct 30, 2022
 #1
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f(4) = 14.

 Oct 30, 2022
 #2
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No such polynomial exists under those conditions! Unless my calculations are wrong...

 Oct 30, 2022
 #3
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\(-\frac{x^{3}}{2}+\frac{5x^{2}}{2}-3x+1\)

.
 Oct 31, 2022

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