It allows students to see the importance of their own learning process. Process Recognition: Students can identify what they did well, what they failed at, what they need to change.
So you want to start to factor so you get (x²+2)(x²-7) = 0. Now set each () to 0, so you get (x²+2) = 0 and (x²-7)=0. The first ends with +√2i and -√2i, the second ends with +√7 and -√7