Hi all, I need questions 1 through 5 solved so I can study and compare my answers that I will get. they don't need to be thourghly explained, Thank you !!

1. Calculate the following by hand or with a calculator a. The roots of P1 = s4 + 9s3 + 33s2 + 59s + 42 b. The roots of P2 = s4 + 8s3 + 24s2 + 37s + 20 c. Determine the polynomials P3 = P1 + P2; PA = P, - P2 ; P5 = P1 X P2 d. Evaluate Pi and P2 when s = 2. 2. Calculate by hand or with a calculator the polynomial P6 = (s + 7)(s + 8)(s + 3)(s + 5)(s+9)(s+ 10) 3. Calculate by hand or with a calculate the following transfer functions: a. G1(s) = 20(s+2)(s+3)(5+6) s(s+7)(s+9)(s+10) represented as a numerator polynomial divided by a denominator polynomial. b. G2(s) = +10s'+295+20 $4+753+2252+30s expressed as factors in the numerator divided by factors in the denominator, similar to the form of Gi(s) in Pre-work 3a. c. G3(S) = G1(s) + G2(s); GA(s) = G1(s) - G2(s); Gs(s) = G1(s) G2(S) expressed as factors divided by factors and expressed as polynomials divided by polynomials. 4. Obtain the state-space representation of the system described by the transfer function T(s) in phase-variable form. s + 2 T(s) = $3 + 3s2 + 4s +1 5. Determine the transfer function of the system described by the state-space representation shown below. Show your calculations clearly. X = AX + Bu Y = CX + Du where : A = [ ], B= , C= [0 1], D=0