Answer:
x^4 - 53x^2 + 468 - 3080
Step-by-step explanation:
If 2+6i is a root, then so is 2-6i
So, if you want a leading coefficient of 1, we have
y = (x-7)(x+11)(x-(2+6i))(x-(2-6i))
= (x-7)(x+11)((x-2)-6i)((x-2)+6i)
= (x-7)(x+11)((x-2)^2 + 6^2)
= (x-7)(x+11)(x^2-4x+4+36)
= (x-7)(x+11)(x^2-4x+40)
