Find the Laplace transform of (f(t)=Aleft[(B+alpha t) e^{-alpha t} ight.) ](u(t)). Locate the poles and zeros of

Find the Laplace transform of \(f(t)=A\left[(B+\alpha t) e^{-\alpha t}\right.\) ]\(u(t)\). Locate the poles and zeros of \(F(s)\).