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What is the number of roots of the polynomial F(z) = 4z^3-8z^2-z+2, lying outside the unit circle?(a) 0(b) 1(c) 2(d) 3This question was addressed to me in homework.This key question is from The Z-Transfer Function topic in portion Digital Control Systems of Control Systems

Answer»

Correct choice is (B) 1

Easy explanation: Factorizing F (Z) and then the FACTORS are the roots which here come out to be 3.



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