SOLUTION: Factor 3y^2-8y+4 I am using the decomposition method. I am only stuck on step 6 of the question...the two factors. This is what I have so far... -6, -2 3y^2-6y-2y+4 3y(y

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Factor 3y^2-8y+4 I am using the decomposition method. I am only stuck on step 6 of the question...the two factors. This is what I have so far... -6, -2 3y^2-6y-2y+4 3y(y      Log On


   



Question 5886: Factor 3y^2-8y+4
I am using the decomposition method. I am only stuck on step 6 of the question...the two factors.
This is what I have so far...
-6, -2
3y^2-6y-2y+4
3y(y-2)-2(y-2)
...the answer book says that the two factors are:
(3y-2) (y-2)
Why is this so?

Answer by Abbey(339) About Me  (Show Source):
You can put this solution on YOUR website!

If we were looking at the problem:
3y(x)-2(x), we would immediately recognize that we could factor out the x, and be left with:
(x)(3y-2)

your solution is missing this next step. You are correct up to here:
3y%28y-2%29-2%28y-2%29
Now factor out the (y-2):
%28y-2%29%283y-2%29