Onward, mathronaut; back to the planet of polynomials to search out new life, or at least find our little strange friends to check out all the new things they've learned.

We'll be adding, subtracting, multiplying, and dividing those little guys like we never have before.

We'll discover a new trick: "The Remainder Theorem"—yes, we know it's a strange name. But this guy's amazing. With him, we can factor polynomials, find roots, and even draw squiggly lines (which we'll call graphs).

Our funny little polynomial friends have evolved and can now solve equations. We'll see how they use perfect square trinomials and the difference between two squares, and how a few can even work with cubes. One subspecies, "The Binomial Theorem," even teamed up with Pascal to create Pascal's Triangle. It's sort of like the Bermuda Triangle, but a lot less scary.

By the end of it all, we'll have a full grab-bag of tricks to use when working with polynomials. Blast off!