Greetings, mathronaut. We're heading back to the planet of the polynomials, to take a closer look at a particularly fascinating subspecies of polynomial, the quadratics. By the time we're done, you'll know them inside and out: how to solve them, how to graph them, their likes and dislikes…you'll even be able to sniff them out when they are in disguise. There will be no hiding from you.
Before we go, though, we need to introduce you to some new types of numbers: imaginary and complex numbers. It turns out that the quadratics are always hanging out with these guys, and we need to be prepared to deal with them, too.