SOLUTION: 9x^(2)+4y^(2) Factor Completely

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Question 292944: 9x^(2)+4y^(2)
Factor Completely
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
This cannot be factored over the rational numbers since we can write 9x%5E2%2B4y%5E2 as 9x%5E2%2B0xy%2B4y%5E2 and there are no numbers that both multiply to 9%2A4=36 and add to 0.


However, this can be factored over the complex numbers to get %283x%2B2yi%29%283x-2yi%29


Chances are that you've never seen imaginary numbers, so this means that the answer is simply "the polynomial is prime"