Well, my question is how.
Here's one from the sheet, I have the answers already, but everyone knows the answers don't matter in math >.>
1)
2)
If you think these are both done with a pretty similar method, then you don't have to show me both. They just look different.
I'm not sure what you mean by "factoring imperfect squares." Neither of these expressions factor over the integers, nor do they factor over the rationals. In fact, neither of them factor over the reals, either.
By solving for the zeros of the polynomials I can tell you that
You can get this by setting and putting the factors in terms of where are the zeros of the polynomial.
-Dan