Let p_1(x) = x^3 -2020x^2 +b_1x + c_1 and p_2(x) = x^3 -2021x^2 + b_2x + c_2 be polynomials having two common roots α and β. Suppose there exist polynomials q_1(x) \and q_2(x) such that p_1(x) q_1(x) + p_2(x)q_2(x) = x^2 -3x + 2 . Thenthe correct identity is

Question

Let  p_1(x) = x^3 -2020x^2 +b_1x + c_1  and  p_2(x) = x^3 -2021x^2 + b_2x + c_2   be polynomials having two common roots α and β. Suppose there exist polynomials  q_1(x) \and q_2(x)  such that p_1(x) q_1(x) + p_2(x)q_2(x) = x^2 -3x + 2 . Thenthe correct identity is

Examsnet · Accepted Answer

Correct Answer is :  p1(3)+p2(1)+4028=0

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