# Routh Array: Determine Which Planes the Roots of the Function Lie

Apply Routh criterion to determine the number of the roots lie in the right half plane for:

a. sA^3+5sA^2+6s = 0

b. sA^3+2sA^2+4s+8 = 0

c. s4+5sA^3+5sA^2-5s-6 = 0

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#### Solution Preview

The number of roots lie in the right-hand plane equals to the number of sign changes in the first column of the Routh array. Please find the details in the attached file.

Given polynomial a_0*s^n + a_1*s^n-1 + ... + a_n-1*s + a_n = 0

Write the coefficients in the following Routh ...

#### Solution Summary

The expert determines which planes the roots of the function lies.

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