How to divide polynomials using the box method? My name is Bon Crowder and I'm with And we're going to divide these two polynomials using the box method. So, here I have my boxes laid out and if you'll notice, they're color coded. Because what I'm going to do, is this, the 12-X cubed goes here. And what I'm going to do is, have this piece along the side. And I'm going to treat this kind of like a regular multiplication table. So, here's the answer in a sense, and I need three-X times what, gives me 12-X cubed. Well, three-X times four-X squared, gives me 12-X cubed. Then I look at this and go, well, gee, four-X squared times negative two gives me negative eight-X squared. But this 23-X squared needs to be these two put together. So, negative eight-X squared plus what, gives me negative 23-X squared, negative 15-X squared. So, then I look and I go, gee, three-X times something gives me 15-X squared. Three-X times negative five-X gives me 15-X squared. And then, I look to the next, again it's just like a multiplication chart, down and across. Negative five-X times negative two is ten-X. But here we go again, we need the 10-X to combine with this other blue box to give me 13-X. So, that's three-X. Then I need to know, well, gee, three-X times what, gives me three-X. No, this three-X times what, gives me this three-X? They're the same. So, I need a one there, because one times three-X is three-X. And then, I multiply one times negative two and I get negative two. Is that the same there, sure is. So, which means my answer to the whole problem is this piece across the top. Four-X squared minus five-X plus one. And that's my answer. And that's how you divide polynomials using the box method. I'm Bon Crowder with, have fun with it.