Question

Factor the expression completely over the complex numbers.

y^4+12y^2+36

Answer 1

answer given is wrong due to not using the complex form with i variable sad even a teacher gets it wrong

Explanation:

Answer 2

`(y^2+6)(y^2+6)`

Explanation:

Trinomials are three term algebraic expressions typically featuring variables to exponent powers. To break these trinomials down we factor them using the diamond method or GCF. The diamond method states that for a trinomial
`ax^2+bx+c` multiply a*c then find two numbers which multiply to this number and add to b. When you find those numbers, write them as
`(x-/+ number)(x-/+number)`.

`y^4+12y^2+36`

a=1, c=36

ac=36 and add to b=12 which 6 and 6 satisfy

It factors to
`(y^2+6)(y^2+6)`.