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

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Homework Help Overview

The discussion revolves around factoring the quadratic expression 3x^2 + 3x - 2. Participants are exploring methods for simplifying this expression and determining its factorability.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss various methods for factoring quadratic expressions, including the general method and the F.O.I.L. technique. Some express uncertainty about the factorability of the expression and question whether it can be factored into binomials.

Discussion Status

The conversation includes attempts to factor the expression, with some participants suggesting that it may not be factorable in a simple form. Others propose using the quadratic formula as an alternative approach to find the zeros of the function.

Contextual Notes

There is a suggestion that if the zeros are not integers, the expression cannot be factored with integer coefficients, indicating a potential limitation in the methods being considered.

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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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