Quaint Quintic

Algebra Level 2

\(f(x)\) is a quintic polynomial such that only 1 of the roots is an integer. It is known that the sum of the coefficients of \(f\) is \(0\). What is the value of the integer root?

Details and assumptions

A quintic polynomial is a degree 5 polynomial.

You are not given any information about the other roots.


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