Answer:
steps below
Step-by-step explanation:
will solve a and d here, to solve c and d is crazy.
for this equation we have 4 roots: p (3-2i), q(3+2i), r(1+i), s(1-i)
z⁴+az³ + bz² +cz +d = (z+p)(z+q)(z+r)(z+s) = 0
= z⁴ + (p+q+r+s)z³ + (pq+pr+ps+qr+qs+rs)z²
+(pqr+pqs+prs+qrs)z + pqrs
d = pqrs = (3-2i)(3+2i)(1+i)(1-i) = (9-4(-1))(1-1(-1) = 13*2 = 26
a = p+q+r+s = (3-2i)+(3+2i)+(1+i)+(1-i) = 8
b = pq+pr+ps+qr+qs+rs .... calculate it , if you are interested
c = pqr+pqs+prs+qrs
