Determine the left-sided impulse response with the

Question

Question: Given the transfer function

H(s) = (s² - s - 6)/(s² + 3s + 1)(s² + 7s + 12)

(a) determine all possible choices for the ROC;

(b) determine the impulse response of a causal implementation of the transfer function H(s);

(c) determine the left-sided impulse response with the specified transfer function H(s);

(d) determine all possible choices of double-sided impulse responses having the specified transfer function H(s). (e) Which of the four impulse responses obtained in (b)-(d) are stable?