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

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

However, this can be factored over the complex numbers to get

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