1
00:00:07;14 --> 00:00:11;12 
I know, I had to use more
 variables. But, it works

2
00:00:11;13 --> 00:00:14;14 For 3 and 4. Will it
work for any number?

3
00:00:14;15 --> 00:00:18;03
D is a variable, stands for
a number in this case.

4
00:00:18;14 --> 00:00:21;00
E is a variable, it's gonna
stand for a number

5
00:00:21;01 --> 00:00:25;11
In this case. Whereas
X, X will be X.

6
00:00:25;12 --> 00:00:26;09
So if anything, 
my variables

7
00:00:26;10 --> 00:00:28;05
Have kind of switched
roles a little bit.

8
00:00:28;06 --> 00:00:31;03
D and E stand for numbers.
Y and X will stand for

9
00:00:31;04 --> 00:00:32;13
Variables on our
coordinate, right?

10
00:00;32;14 --> 00:00:37;12
OK. Let's distribute. We'll
do it the same way

11
00:00:37;13 --> 00:00:39;01
We did over here
just for fun.

12
00:00:39;02 --> 00:00:41;12
This will be B and C,
and that will be A.

13
00:00:41;13 --> 00:00:43;07
Marissa, will you
help me distribute?

14
00:00:44;08 --> 00:00;48;13
[Um, X times X plus negative E]

15
00:00:48;14 --> 00:00:56;04
[Plus D times X plus E]

16
00:00:56;05 --> 00:01:02;09
Very good. Um,
Mr. Simon? Help?

17
00:01:06;10 --> 00:01:19;09
[X squared plus
EX plus DX plus]

18
00:01:19;10 --> 00:01:22;03
Plus what?

19
00:01:22;04 --> 00:01:23;03
[Negative DE]

20
00:01:23;11 --> 00:01:27;01
DE, ED, communitive
property says I don't care

21
00:01:27;02 --> 00:01:32;08
Which one I put. All right,
where can we collect?

22
00:01:38;03 --> 00:01:40;04
[The EX and the DX]

23
00:01:40;04 --> 00:01:44;09 
The EX and the DX, good. So, it's still going to be

24
00:01:44;10 --> 00:01:47;13
X squared. If you collect the
EX and the DX, what would

25
00:01:47;14 --> 00:01:50;09
you add together had you
known the numbers?

26
00:01:51;13 --> 00:01:54;03
Like, what would you
collect exactly?

27
00:01:54;14 --> 00:01:55;11
[The X's]

28
00:01:55;12 --> 00:01:58;09
OK, so if you collect the
X's, what would be left

29
00:01:58;10 --> 00:01:59;10
When we simplified it?

30
00:01:59;11 --> 00:02:00;10
[Numbers]

31
00:02:00;11 --> 00:02:02;06
And what are these numbers in this case?

32
00:02:02;07 --> 00:02:05;06
How could you write an
expression for them?

33
00:02:08;14 --> 00:02:09;11
[I don't know]

34
00:02:10;07 --> 00:02:12;10
Well, if you knew what these two numbers were

35
00:02:12;11 --> 00:02:15;11 [cough] find them.

36
00:02:15;12 --> 00:02:19;04
So, you don't know what
they are, but you find them

37
00:02:19;05 --> 00:02:20;14
And you collect
the terms of X.

38
00:02:20;15 --> 00:02:23;08 
So, you said it fine, it just happens to be

39
00:02:23;09 --> 00:02:24;04
When you write them down,

40
00:02:24;05 --> 00:02:25;14
You can't actually
take E plus D,

41
00:02:25;15 --> 00:02:27;03
Because you don't know
what they stand for

42
00:02:27;04 -->00:02:30;02
But you add them, whatever
they are, and whatever

43
00:02:30;03 --> 00:02:31;12
These numbers are, what's
happening with them?

44
00:02:31;13 --> 00:02:38;13
What operation is D and E?
DE? Multiplication.

45
00:02:38;14 --> 00:02:46;04
So, again, expanded
form, factored form.

46
00:02:46;05 --> 00:02:54;02
Did Sabrina and Gina's hypothesis come out?

47
00:02:54;03 --> 00:02:56;06
Whatever those
numbers are,

48
00:02:56;07 --> 00:02:58;10
They get added to
be the middle term

49
00:02:58;11 --> 00:03:00;12
The X term and multiplied
to be the constant.

50
00:03:00;12 --> 00:03:06;08
What do you think? All
right then, there you go.

51
00:03:06;09 --> 00:03:11;11
So, there is a way, there
is a way to go from

52
00:03:11;12 --> 00:03:16;06
Expanded or standard form back into that factored form

53
00:03:16;07 --> 00:03:17;10
That we've grown to
know and love

54
00:03:17;11 --> 00:03:19;06
Thanks to finding our zeros.

55
00:03:19;11 --> 00:03:22;05
Let's just do one more
together, then I'm gonna cut

56
00:03:22;07 --> 00:03:26;00
You lose to take a stab at it
on your own. Go ahead.

57
00:03:26;01 --> 00:03:28;06
[But how do we know,
say like, over here,]

58
00:03:28;07 --> 00:03:30;04
[How do we know
when you can use 4?]

59
00:03:30;05 --> 00:03:37;12
[When you say 7, when
can it be like, 1 plus 6...]

60
00:03:37;13 --> 00:03:41;03
Sure, sure, exactly,
so we'll do one.