role
stringclasses
2 values
content
stringlengths
0
2.1k
session_id
int64
10
21.7k
sequence_id
int64
0
2.38k
annotations
listlengths
0
8
volunteer
Yeah, yeah
13,553
795
[]
student
OK, and then
13,553
796
[]
student
hm.
13,553
797
[]
student
what did you do then? You would you just as so.
13,553
798
[]
volunteer
Now I minus 2 is common, right? You have 2 X minus 2s, so you take that one out and then put the rest in the parenthesis.
13,553
799
[]
student
So you remove the common factors?
13,553
800
[]
volunteer
Yeah, take the compactor out.
13,553
801
[]
student
OK. OK. It's equal to AC and then
13,553
802
[]
student
right
13,553
803
[]
student
Uh, just give me a second writing this down in my precious notes.
13,553
804
[]
volunteer
Yeah
13,553
805
[]
volunteer
No, good, good. That's, that's good. You're diligent.
13,553
806
[]
student
factors.
13,553
807
[]
student
What
13,553
808
[]
student
Uh
13,553
809
[]
student
OK. 3 X is like the equivalent sign.
13,553
810
[]
student
it's like a version.
13,553
811
[]
student
that you might see
13,553
812
[]
student
like.
13,553
813
[]
student
like seeing streets.
13,553
814
[]
student
So.
13,553
815
[]
student
That's what I said. You just gave an example.
13,553
816
[]
student
in both circumstance.
13,553
817
[]
student
frontage than right.
13,553
818
[]
student
In fact they get So you have to avoid decimals.
13,553
819
[]
student
right
13,553
820
[]
volunteer
What's that
13,553
821
[]
student
So you have to avoid decimals, right?
13,553
822
[]
student
Yeah, so just
13,553
823
[]
volunteer
Yeah, I mean, mostly inquire, you'll get clean factors. You'll never get fractions. Are you, yeah.
13,553
824
[]
student
so what about if we like avoid dusts if you can, but if you can't, you just end up with decimals, no?
13,553
825
[]
student
Or is it like you never do?
13,553
826
[]
volunteer
Uh, so, no, no, no, no. Let's, let's just think about the other way. The idea is to find that common factor like the X minus 2 that you found here, right?
13,553
827
[]
volunteer
So
13,553
828
[]
student
No, I was like talking about um like I don't know if you were like talking about just action, but
13,553
829
[]
student
like for the 4 x 2 minus 8 x + 5 x, like you have to avoid doing 5x minus 8 X because you you end up with the decimal like you end up with like
13,553
830
[]
volunteer
yeah, yeah, I, I see, I understand your question. What I'm trying to say is that instead of thinking about it that way, that you need to avoid decimals. The way to think about it is
13,553
831
[]
volunteer
how do I find a factor that'll be common for both the 1st 2 and the 2nd 2.
13,553
832
[]
student
OK.
13,553
833
[]
volunteer
You know what I mean
13,553
834
[]
student
OK
13,553
835
[]
volunteer
So when I say first two is that these two, right? I'm just trying to write here. So you'll see the blue color pen.
13,553
836
[]
student
Uh, yeah, so the reason is they result in
13,553
837
[]
student
uh in similar
13,553
838
[]
student
factors which can be canceled out.
13,553
839
[]
student
simplifying the expression.
13,553
840
[]
volunteer
which can be pulled out as a common factor, not cancer yet, but pulled out of a common factor.
13,553
841
[]
student
or yeah
13,553
842
[]
student
It's like the
13,553
843
[]
volunteer
because what will happen if you do the 5 X, then you will get like a random 5 x 4 or something.
13,553
844
[]
volunteer
And then if you go on the other side, you will get like a random, uh, what is it? Again, again, a fiber. Actually, that works actually, I think, right? No, no, you get a 5 by 4.
13,553
845
[]
volunteer
You don't get a 5x 4 there. You get, uh, what?
13,553
846
[]
volunteer
2, you get something else altogether. So you get
13,553
847
[]
volunteer
you kind of stalled
13,553
848
[]
student
OK
13,553
849
[]
volunteer
Actually, let's try it. what happens? I never tried it.
13,553
850
[]
student
Well, well,
13,553
851
[]
volunteer
You ask me some questions. OK, so you put this 5 x 4 on this side.
13,553
852
[]
volunteer
And then I get a 10 x 8 on the other side.
13,553
853
[]
volunteer
OK.
13,553
854
[]
student
Wait, a question with the negative 2 though, before we do that, um, so the negative 2 you can basically do what exactly we can basically like cross it out or?
13,553
855
[]
volunteer
No, no, no, you cannot, you should not cross anything out. You're factorizing it, so you take that factor out.
13,553
856
[]
student
So, like you have the negative2 in both, meaning what exactly like.
13,553
857
[]
volunteer
Are you saying, uh talking about the X minus 2?
13,553
858
[]
student
Yeah, cause that's in like both of them. Like do
13,553
859
[]
volunteer
Yeah, yeah, so you take that X minus 2 hours. I'm writing it where your cursor is.
13,553
860
[]
volunteer
and then you put the rest in the bracket.
13,553
861
[]
student
OK, so you can do X minus 2 and then 4 x plus 5,?
13,553
862
[]
volunteer
Correct.
13,553
863
[]
student
OK
13,553
864
[]
volunteer
Yeah
13,553
865
[]
student
And then you'll get it to that form again, yeah. OK, so it turns into
13,553
866
[]
volunteer
And then all of that equates to zero, which you have not written anywhere yet, but the idea is to
13,553
867
[]
volunteer
find the factors
13,553
868
[]
student
births to X minus
13,553
869
[]
student
X minus 2, and
13,553
870
[]
student
4 x plus 5.
13,553
871
[]
student
Forest is 5.
13,553
872
[]
student
but
13,553
873
[]
student
my word be like
13,553
874
[]
student
to
13,553
875
[]
student
X minus 2
13,553
876
[]
student
+ 4 x + 5 cause there's, or right now.
13,553
877
[]
student
It's like because you're
13,553
878
[]
student
you have two of the times x minus 2 in there. So I was just
13,553
879
[]
student
confused like
13,553
880
[]
student
how you deal with that
13,553
881
[]
volunteer
Yeah, you take it out, this and this.
13,553
882
[]
volunteer
and you put it under this umbrella right here.
13,553
883
[]
student
Yeah, but like
13,553
884
[]
volunteer
And then one greens is the + 5.
13,553
885
[]
volunteer
that is here
13,553
886
[]
volunteer
And then what remains is the horax.
13,553
887
[]
volunteer
So now if you multiply it, it'll be like, you know.
13,553
888
[]
volunteer
X for x square, right?
13,553
889
[]
student
OK. Yeah, I was just asking like why.
13,553
890
[]
student
it would, like it just, like it would result like when you combine the X-y this twos together, it would still be x minus 2.
13,553
891
[]
volunteer
And, and
13,553
892
[]
student
No, I was just confused a lot.
13,553
893
[]
volunteer
I don't understand. So why are you saying this X minus 2 will remain as X minus 2 here?
13,553
894
[]