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P_1^{}(x) = ax^2-bx-c, P_2^{}(x) = bx^2-cx-a, P_3(x) = cx^2-ax-b be three quadritic polynomials . Suppose there exists a real number α such that P_1 (α) = P_2(α) = P_3(α). Prove that a =b= c

Answer» P_1^{}(x) = ax^2-bx-c, P_2^{}(x) = bx^2-cx-a, P_3(x) = cx^2-ax-b be three quadritic polynomials . Suppose there exists a real number α such that P_1 (α) = P_2(α) = P_3(α). Prove that a =b= c


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