In: Advanced Math
For each of the following polynomials, determine the number of the roots that are in the LHP, in the RHP, and on the jw-axis.
i. s3 + s + 2 = 0
ii. s4 - 4s3 + 7s2 - 8s + 10 = 0
** When solving for LHP, RHP, & jw-axis, can you explain what differentiates these different categories? (i.e. I understand that the RHP you need to look for a sign switch but do not understand the LHP and jw-axis) Thank you!