Mechanical Engineering > GATE 2022 SET-2 > Polynomials
A polynomial φ(s) = ansn + an-1sn-1 + ... + a1s + a0 of degree n > 3 with constant real coefficients an, an-1, ... a0 has triple roots at s = -σ. Which one of the following conditions must be satisfied?
A
φ(s) = 0 at all the three values of s satisfying s2 + σ2 = 0
B
C
D
Explanation
Correct : b
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