Discrete Math Quiz
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RELATIONS AND DISCRETE STRUCTURES
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Consider the set PP of all polynomials with integer coefficients. Define relation γ\gamma on PP by p(x)γq(x)p(x) \gamma q(x) if and only if p(n)≡q(n)(mod5)p(n) \equiv q(n) \pmod{5} for all integers nn. Which polynomial is in the same equivalence class as f(x)=x4+2x2+3f(x) = x^4 + 2x^2 + 3?
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