Verified answer

3 is a root so (x-3) is a factor

3 + i√2 is a root so3 - i√2 is a root so (x-3)^2+ 2 is a factor or x^2-6x+ 11 is a factor

-i√2 js a root so i√2 is a root so (x^2+2) is a factor

so P(x) = (x-2)((x^2-6x + 11) (x^2+ 2)