1. ## Factoring an Equation

I'm trying to do pre-calculus with a very shaky foundation in algebra. Fortunately, over the course of the semester I've caught up in many regards to where I need to be. However, I'm still having some problems with factoring equations. I need to factor something that looks like this $\displaystyle 6x^2-7x+2$. I don't really understand how to start tackling a problem like this.

2. ## Re: Factoring an Equation

Originally Posted by fogownz
I'm still having some problems with factoring equations. I need to factor something that looks like this $\displaystyle 6x^2-7x+2$. I don't really understand how to start tackling a problem like this.

If the factors are not easily identifiable, I suggest start looking at the discriminate, $\displaystyle b^2-4ac$. If that is not a perfect square then the factors are not 'nice'.

If you know one root, say $\displaystyle \alpha$, then $\displaystyle (x-\alpha)$ is a factor.

3. ## Re: Factoring an Equation

$\displaystyle 6x^2 - 7x + 2 = (3x-2)(2x-1)$