Let S denote the set of monic degree two polynomials, i.e., S {x² + ax + b: a, b e R} The relation R on S defined by fRg if f(2) = g(2) is an equivalence relation. (You do not need to prove this claim.) a. For any polynomial f, let [f] denote the equivalence class of f. List three elements in [x^2 + x]. b. Prove that the equivalence class [x^2 + 1] is infinite.

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