The Laplace transform X(s) of a signal x(t) has four poles and an unknown number of zeroes. The signal x(t) is known to have an impulse at t=0. Determine what information, if any , this provides about the number of zeroes and their locations.

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Best Answer

The numerator of the polynominal must be of the same of higher degree than the denominator polynominal because the system impulse at t=0. So, there must be four poles at minimum.