. Let 23(2) , (3(2) 3 Hz) are polynomials such that 33(24) | zq(z4) + 22T(z4) is (a polynomial in z) divisible by 1 + z + 22 + 23. Prove that 39(2) is divisible by z 1+ . Find all the complex numbers 2 satisfying the following equation: (1+z)5=1+z'. . Let D : {z 6 Cl 0.5 g |z| g l}, f : C > (Cwith f(z) : dz. Find f(D), then sketch the picture of f(D) on the complex plane