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We have a polynomial f(x)f(x)f(x) which satisfies the following conditions:
f(1)=4 , f(2)=3 , f(3)=4 , f(4)=7f(1)=4~,~f(2)=3~,~f(3)=4~,~f(4)=7f(1)=4 , f(2)=3 , f(3)=4 , f(4)=7
Can f(x)f(x)f(x) be a cubic polynomial?
Note: This problem is original and is inspired by a facebook post.
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