2. \( 3 x^{2}-6 x+6 \)

Did you know that the quadratic expression \( 3x^2 - 6x + 6 \) can actually be factored to reveal its roots? You can simplify it by first noticing that all terms have a common factor of 3, which makes it easier to analyze. Dividing the entire expression by 3 gives you \( x^2 - 2x + 2 \). From there, you can apply the quadratic formula to find its roots, which are complex in this case! Now, if you're looking to tackle quadratics like a pro, remember to always look for a common factor first — it can save you a lot of time and effort. Also, watch out for mistakes with signs when applying the quadratic formula. Don't forget to double-check your calculations, especially under the square root! Happy solving!