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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?

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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) 3

This 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

1 Answer

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Best 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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