A Quartic from Reciprocal Values

7/10algebraPolynomials

Problem

Let f(x)f(x) be a fourth-degree polynomial with f(k)=1kf(k)=\dfrac 1k for k=1,2,3,4,5k=1,2,3,4,5. Find f(6)f(6).

Answer

Solution

Difficulty7/10
Topicsalgebra, Polynomials

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