Question

what is the factored form of a fourth degree polynomial function with coefficients that has -3,1and 1+5i

Answer 1

Complex factors are
  (x +3)(x -1)(x -1 -5i)(x -1 +5i)

If you want the complex factors combined to a real factor, the factorization is
  (x +3)(x -1)(x² -2x +26)