Question

Factor the expression completely over the complex numbers. y^4+12y^2+36

Answer 1

You can write it as (y²)² +12(y²)+36. It's easy to notice it's y
`(y^2+6)` squared. Since you want to consider complex factors as well, you can see +6 as
`(i √(6))^2`. Your Expression becomes
`[(y+i \sqrt6)(y-i\sqrt6)]^2`