Suppose a(2+i)^4 + b(2+i)^3 + c(2+i)^2 + b(2+i) + a = 0,where a,b,c are integers whose greatest common divisor is 1. Determine |c|.
"Suppose a(2+i)^4 + b(2+i)^3 + c(2+i)^2 + b(2+i) + a = 0,where a,b,c are integers whose greatest common divisor is 1. Determine |c|."
