For what values of K does the polynomial s4+8s3+24s2+32s+K=0 have roots with zero real parts?
A. 10
B. 20
C. 40
D. 80
Answer:D
For what values of K does the polynomial s4+8s3+24s2+32s+K=0 have roots with zero real parts?
A. 10 B. 20 C. 40 D. 80
Explanation: The solution is obtained by using the Routh-Hurwitz table and in which with the conventional method the number of sign changes are seen in the first row of the table and number of sign changes is equal to the number of the roots on the right half of s plane.