How to factor 3x² + 3x - 2

[banana_banana]

Homework Statement

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

Homework Equations

The Attempt at a Solution

 

[Defennder]

What have you tried so far? Didn't you learn the general method for solving/factoring quadratic expressions?

 

[symbolipoint]

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?

 

[banana_banana]

i couldn't find any. and already tried as i could.

 

[symbolipoint]

Maybe this one is really not factorable. I tried several combinations and could not find two binomial factors. Possibly we were not thorough enough?

 

[Defennder]

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.

 

[HallsofIvy]

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.