Given the following open-loop system G(s) = 20(s+2) s(s+4)(s+6) design a feedback controller u = -Kx, where K characteristic equation = [K1 K2 K3], to yield a desired s3+64s2 +252s + 720 = 0 1. Find K₁, K2, and K3 using pole placement method. 2. With the designed controller u = -Kx, find the closed-loop system in state-space formulation 3. Find the transfer function of the closed-loop system with the designed controller u = -Kx

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