Factor each polynomial completely, if a polynomial is prime say so

9x^2+4y^2

2 answers

This cannot be factored without using imaginary numbers.

The answer is (3x + 2i y)(3x - 2i y)
where i is the square root of -1
if i is square root of -1
would the anwer be than

(3x+1/2y)(3x+1/2y)