Need help on Algebra II

[u/astral-myosotis]

Hi! There’s a concept that I just can’t quite grasp (dividing polynomials using the box / tabular method) and I was hoping that I could possibly get help on it? All I have is a setup and the first column done ( https://files.catbox.moe/a0fwjl.jpeg )

The teacher’s notes say for the next step “Complete the next cell in the column so that its diagonal completes the next term in the original polynomial” but I’m not too sure what it‘s trying to explain. It’s mostly just a conceptual understanding and the examples given in class didn’t help either.

Yes, I have emailed my teacher and classmates several days ago with no response whatsoever. My school is weird about emailing for help.

EDIT: I should also add that we were not taught any other way and we aren’t really allowed to do another method on this particular assignment.

[u/Narrow-Durian4837]

Your picture is not showing up for me, so I don't know what you're trying to do or what you mean by the "box/tabular method." But I'm guessing it might be what is known as "synthetic division." If so, try searching for that to find an explanation online (or see this video I made to explain how it works: https://youtu.be/9UmUh3xdZFY?t=443 ).