SOLUTION: How would I factor completely 9y^2-6y+6?

Question 943336: How would I factor completely 9y^2-6y+6?
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!

Find sensible integer combinations to try.
(3y____1)(y_____2)
Gives a 1y and a 6y. This will not give -2y.

(3y_____2)(y______1)
Gives 2y and 3y. This will not give -2y.

Next thing to try is roots for factoring the quadratic factor.

the discriminant is 36-24=12, which will still give an irrational discriminant.

The original expression is not factorable the way you want it, but can only go as far as .

The factoring can go further, but you would need to accept irrational roots.
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