# Mathematical Enigma - XVII

Algebra Level 5

$$F(x)$$ is a fourth order polynomial with integer coefficients and with no common factor. The roots of $$F(x)$$ are $$–2, –1, 1, 2$$. If $$p$$ is a prime number greater than $$97$$, then find the largest integer that divides $$F(p)$$ for all values of $$p$$.

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