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A polynomial f(x) pf degrees 5 and coefficient 1 and satisfies f(1)=3, f(2)=3, f(3)=3, f(4)=3, f(5)=3. What is f(x)?

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Consider g(x) = (x-1)(x-2)(x-3)(x-4)(x-5)
g(x) = 0 at x=1,2,3,4,5
So f(x) = g(x)+3

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