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Find a+b

Source: MTRP 2017 Class 11-Multiple Choice Question: Problem 3 :-

May 25, 2020
polynomialalgebra

Problem Statement

Let p(x)=x4−4x3+2x2+ax+bp(x)=x^4-4x^3+2x^2+ax+b. Suppose that for every root λ\lambda of pp, 1λ\frac{1}{\lambda} is also a root of pp. Then a+b=a+b=
[*] -3 [*] -6 [*] -4 [*] -8
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