The first thing that you need to do when you look at stuff like this is to realize the way that quadratic trinomials are set up. They’re set up like this:
ax2 + bx + c = 0
To solve these sorts of trinomials, what we do is plug them into the quadratic formula, which, I’ll remind you, looks like this: 
As you can see, the appropriate variables are plugged into their appropriate places, and then you just carry out the operation.
But there’s a way that you can “guess” what the answers are going to be. The reason why I say guess is because they aren’t really guesses. Let’s say that you have a quadratic trinomial that looks like this:
x2 – x – 2 = 0
And you simplify it. What you get is (x – 2)(x + 1) = 0. Now, either one of those binomials has to end up being zero for the equation to work, and so we can reasonably infer that x is either going to be 2 or -1. And it is. Although this can’t be applied to every type of quadratic trinomial.
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