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  1. The number of roots of s3 + 5 s2 + 7 s + 3 = 0 in the left half of the s-plane is—
    1. zero
    2. one
    3. two
    4. three
Correct Option: D

Given equation s3 + 5 s2 + 7 s + 3 = 0
its Routh Hurwitz array
since there is no sign change in 1st column means there is no roots in the right half plane means all the roots lies in the left halfs plane.
Hence alternative (D) is the correct choice.



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