EC > GATE 2025 > Root Locus
Consider the polynomial p(s)=s5+7s4+3s3-33s2+2s-40. Let (L, I, R) be defined as follows.
L is the number of roots of p(s) with negative real parts.
I is the number of roots of p(s) that are purely imaginary.
R is the number of roots of p(s) with positive real parts.
Which one of the following options is correct?
A
L=2, I=2, and R=1
B
L=3, I=2, and R=0
C
L=1, I=2, and R=2
D
L=0, I=4, and R=1

Correct : c

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