Explain please with steps

-3s e 2. Find C-1 S ( $2 + 25 + 2) S Answer: The quadratic term in the denominator cannot be factored, so the partial fraction decomposition is as follows: 1 Bs + C A( $2 + 2s + 2) + s( Bs + C) + S ( $2 + 25 + 2) S $2 + 25 + 2 S ( $2 + 25 + 2) A + B = 0, 2A +C =0, 2A=1 = A = B 2 C = -1, = 1 11 1 s+2 S ( $2 + 25 + 2) 2 2 5 2 $2 + 25 + 2 C 1 5 ( 5 2 + 2 5 + 2 ) 1 - 2 6 1 1 5 1 - 36 15 ( 5 + 1 ) +1 ] = - le cost te sint . Then, by the 2-nd Shifting Thm, e 3s s ( $2 + 25 + 2 ) s = u(t - 3) 1 -(t-3) cos(t - 3) - e - (t -3) sin( t - 3)