If you mean: x squared -5x +6 then it can be factored as (x-2)(x-3)
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3x2-24x-48 is not factorable.
This is not factorable. You would have to do the quadratic formula for this problem.
2
Yes.
If the quadratic is written in the form ax2 + bx + c (where a not 0) then for it to be factorable, b2 - 4ac (the discriminant) must be a perfect square.