Hey, I have only taken Algebra 1 (in Geometry right now), so I don't know a lot about factoring, but I did make a program that can factorize expressions like X²+BX+C. It's not the greatest, and can only directly factor the expression if A=1 (not 2X²+blahblahblah or something), but I'll post it here anyways. I went back and chopped off the parentheses, but I haven't optimized the While C/X+X!=B and C/X+X!=-B part. (I'm too lazy to figure out the best way to do so.)
Code: :ClrHome
:Prompt B,C
:1→X
:While C/X+X≠B and C/X+X≠-B
:If X>abs(C:Then
:"Error!"
:Goto E
:End
:X+1→X
:End
:While 0
:Output(3,1,"(X+ )(X+ )"
:Output(3,4,abs(X
:Output(3,11,abs(C/X
:If X<0:Output(3,3,"-"
:If C/X<0:Output(3,10,"-"
:End
:{X,C/X
:If C/X+X=-B
:-Ans
:Lbl E
:DelVar BDelVar CDelVar XAns
I'll explain this when I feel like it later, but I will note that the While 0 loop is basically a comment. It was supposed to display something like (X+2)(X+3) rather than {2,3}, but believe it or not I kept getting confused on problems like "Factorize M²+5M+6" and would accidentally write "(X+2)(X+3)" so I disabled it. I didn't really want to remove it, though, so I just did that.
Also of note is that, if the very last line of code changes the Ans variable, then the calculator will display Ans instead of "Done". 
? The first one, or the last one, or one between the two? 
