Factor Out 3x^2+3x-2 | Simplify Homework Equation | Expert Tips

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To factor the quadratic expression 3x^2 + 3x - 2, users discussed various methods, including the general binomial approach and the F.O.I.L. method. Some participants noted that the expression might not be factorable into simple binomials with integer coefficients. It was suggested that if integer solutions are not found, the quadratic formula could be used to identify zeros, which may involve radicals. The consensus is that while it may not factor nicely, it can still be expressed using radicals. Ultimately, the expression's factorability depends on the nature of its roots.
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Homework Statement



how to factor this out. 3x^2+3x-2

Homework Equations





The Attempt at a Solution

 
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What have you tried so far? Didn't you learn the general method for solving/factoring quadratic expressions?
 
You have a quadratic trinomial. Set up a generalized couple of binomials and systematically try likely combinations of numbers. Have you been shown or have you seen exemplified the F.O.I.L. method?
 
i couldn't find any. and already tried as i could.
 
Maybe this one is really not factorable. I tried several combinations and could not find two binomial factors. Possibly we were not thorough enough?
 
Well it may not be factorable in a "nice form", but it can still be factorised out using radicals by the quadratic formula, if that is what he wants.
 
If nothing else works you can use the quadratic formula to find the zeros of the function. If they are not integers, then it cannot be factored with integer coefficients. You could still factor it with radicals as Defennder says.
 

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