SOLUTION: I am having a problem solving this equation: {{{ 12x^2+39x-20 }}} I need to factor this but am getting nowhere. Is it not factorable?

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Question 442060: I am having a problem solving this equation: +12x%5E2%2B39x-20+ I need to factor this but am getting nowhere. Is it not factorable?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The problem with your question is that the answer is both yes and no. I suspect you mean Is it factorable over the rational numbers, in which case the answer is no. But all quadratic trinomials are factorable if you allow complex number factors. A large subset of these are factorable over the real irrational numbers. And only a tiny fraction of these are factorable over rational numbers.

The given quadratic actually has a pair of irrational factors:





John

My calculator said it, I believe it, that settles it
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