For the following polynomials, determine how many roots are in RHP, how many are in LHP and how many are on the imaginary axis. Also comment on stability of systems characterised by the polynomials.

(a) \(2 s^{4}+3 s^{3}+14 s^{2}+2 s+6\)

(b) \(s^{5}+2 s^{4}+s^{3}+2 s^{2}+s+4\)

(c) \(2 s^{4}+2 s^{2}+3 s+4\)

(d) \(s^{6}+2 s^{5}+3 s^{4}+4 s^{3}+5 s^{2}+8 s+1\)

(e) \(s^{5}+3 s^{4}+4 s^{3}+7 s^{2}+4 s+2\)

(f) \(s^{5}+s^{3}+2 s\)

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