1
00:00:04;10 --> 00:00:06;11
I'm evil, because
what did I pick?

2
00:00:06;12 --> 00:00:07;13
[Negative]

3
00:00:07;14 --> 00:00:12;06
Yeah, negative. Just maybe
to avoid some mistakes,

4
00:00:12;07 --> 00:00:13;14
What should I go
through and do?

5
00:00:13;15 --> 00:00:15;00
[Add Opposites]

6
00:00:15;01 --> 00:00:18;03
Add opposites. I'm going
to add the opposite

7
00:00:18;04 --> 00:00:19;13
And add the opposite.

8
00:00:19;14 --> 00:00:25;10 
This is expanded or standard form and we

9
00:00:25;11 --> 00:00:29;08
Would love very much so to
have it into factored form.

10
00:00:29;09 --> 00:00:31;03
That way I know where
my zeros are and

11
00:00:31;04 --> 00:00:32;04 I can graph it from there.

12
00:00:34;06 --> 00:00:41;05
What do you think?  How
are you going to know?

13
00:00:54;04 --> 00:00:55;10
Paul and Sabrina
get me started.

14
00:00:55;11 --> 00:00:57;05
What can I put
in my factors?

15
00:00:57;06 -->00:01:00;05 
[X plus ]

16
00:01:03;07 --> 00:01:07;10
And? Alright, good. You
have to get an X squared

17
00:01:07;11 --> 00:01:10;02
From it eventually.
Sabrina told us earlier

18
00:01:10;03 --> 00:01:12;00
That if you need to make
an X squared, you have

19
00:01:12;01 --> 00:01:14;03
To multiply an X and
an X somewhere.

20
00:01:14;13 --> 00:01:17;06
If you distribute, it will get you X squared now.

21
00:01:17;07 --> 00:01:22;00
Plus some number and plus some number.

22
00:01:22;01 --> 00:01:23;03
We don't know what
those numbers are

23
00:01:23;04 --> 00:01:26;01
But what do we know
about those numbers?

24
00:01:26;02 --> 00:01:28;11
What do the numbers that
end up landing there?

25
00:01:31;06 --> 00:01:33;09
Looking at some of the things we've already

26
00:01:33;10 --> 00:01:36;02
Talked about.
What about them?

27
00:01:36;03 --> 00:01:38;03
What will happen to those
two numbers when we put

28
00:01:38;04 --> 00:01:40;04
Them in there, when we
distribute it back out.

29
00:01:40;05 --> 00:01:42;00
If we were to distribute
them back out.

30
00:01:52;05 --> 00:01:55;13
Can I put 10 and 5?
X plus 10 and X plus 5?

31
00:01:55;14 --> 00:02:01;07
Why not? Katie shook
her head no, why not?

32
00:02:12;08 --> 00:02:15;05
OK, the middle number
when added is supposed

33
00:02:15;06 --> 00:02:18;03
To be a negative 2. Doesn't
my 10 and 5 do that?

34
00:02:18;04 --> 00:02:24;01
No, it doesn't. Then I can't
use 10 and 5. Why else

35
00:02:24;02 --> 00:02:25;13
Can't I use 10 and 5, Kimberly?

36
00:02:28;00 -->00:02:29;05
When I do what
with 10 and 5? 

37
00:02:29;06 --> 00:02:32;15
[When you add them or
multiply them]

38
00:02:33;00 --> 00:02:36;05
Multiply them, remember
the constant number is

39
00:02:36;06 --> 00:02:39;06
The result of a product and

40
00:02:39;07 --> 00:02:41;11
The distribution that
would take place.

44
00:02:41;12 --> 00:02:44;04
When using the distributive
property, that constant on

45
00:02:44;05 --> 00:02;46;02
The end which gives
me a negative 24

46
00:02:46;03 --> 00:02:48;13
Is the result of a product
of the numbers that

47
00:02:48;14 --> 00:02:51;10
I put in there. So, 10 and
5 is not going to make

48
00:02:51;11 --> 00:02:55;09
Negative 24, is it? So what
are your options at least?

49
00:02:55;10 --> 00:02:58;14
You might not know what's
going to work yet, but if you

50
00:02:58;15 --> 00:03:03;11
10 and 5 is not an option,
What might be an option?

51
00:03:05;05--> 00:03:08;07
We'll list them. We'll be
systematic about this.

52
00:03:08;07 --> 00:03:09;11
10 and 5 don't work.

53
00:03:09;12 --> 00:03:13;04
So give me one
that might work.

54
00:03:13;05--> 00:03:13;09
[4 and 6]

55
00:03:14;08 --> 00:03:18;02
4 and 6. What
else might work?

56
00:03:20;00 --> 00:03:21;01
[3 and an 8]

57
00:03:22;05 --> 00:03:24;12
What else potentially
could work?

58
00:03:24;13 --> 00:03:26;00
[2 and 12]

59
00:03:26;01 --> 00:03:29;01
2 and 12. Any more?

60
00:03:26;01 --> 00:03:30;00
[24 and 1.]

61
00:03:30;01 --> 00:03:34;01
24 and 1. Those
are all the ways

62
00:03:34;02 --> 00:03:38;11
that you could
multiply to make a 24.

63
00:03:38;12 --> 00:03:41;03
It will have to be
a negative 24,

64
00:03:41;04 --> 00:03:44;04
So we will have to talk
about  signs as well.

65
00:03:44;05 --> 00:03:47;04
I could put any of these
numbers potentially

66
00:03:47;05 --> 00:03:50;03
in these slots. We already
saw that with distributive

67
00:03:50;04 --> 00:03:55;03
Property, it multiplies, yes, to this constant term. But it

68
00:03:55;04 --> 00:04:02;10
Also does what? What else
do those two numbers do

69
00:04:02;10 --> 00:04:06;00
When you distribute
them? They what?

70
00:04:06;03 --> 00:04:08;01
[Get addedd together]

71
00:04:08;02 --> 00:04:10;10
Yeah, they get collected. They get added as well,

72
00;04:10;11 --> 00:04:14;03
So these are all the ways I
could multiply to make 24

73
00:04:14;04 --> 00:04:18;02
But ways that do what in
this specific case, Amanda?

74
00:04:18;03 --> 00:04:20;03
[Add to negative 2]

74
00:04:21;06 --> 00:04:25;08
Add to negative 2. You
need to watch your

75
00:04:25;09 --> 00:04:28;11
Signs here. My collected
term is a negative 2.

76
00:04:28;14 --> 00:04:33;03
So, 24 and 1, no matter
how you assign their signs,

77
00:04:33;04 --> 00:04:36;04
Could I ever add these to
make a negative 2?

78
00:04:36;05 --> 00:04:40;02
No, and although this is an
option to make negative 24,

79
00:04:40;03 --> 00:04:42;04
I don't think it's going to be
an option to add to negative

80
00:04:42;05 --> 00:04:53;01
2. How about 2 and 12?
No? 3 and 8? No. I'm down

81
00:04:53;02 --> 00:04:58;09
To 4 and 6. OK, but it's
signs here as well, guys.

82
00:04:58;10 --> 00:05:00;09
When you distribute these,
you'll cause negatives or

83
00:05:00;10 --> 00:05:02;05
Positives getting distributed, you must.

84
00:05:02;05 --> 00:05:03;07
Because what's
your product?

85
00:05:03;07 --> 00:05:04;06
[Negative]

86
00:05:04;07 --> 00:05:06;13
Your product is negative,
what does that say about

87
00:05:06;14 --> 00:05:08;09
Your original two numbers?

88
00:05:09;13 --> 00:05:15;14
One of each, exactly. The
question is who? Amanda?

89
00:05:15;15 --> 00:05:16;11
[Negative 6]

90
00:05:16;12 --> 00:05:17;12
Negative 6? Is that what
you were going to say?

91
00:05:17;13 --> 00:05:23;10
Negative 6? Negative 6?
Negative 6? OK, why

92
00:05:23;11 --> 00:05:29;12
Negative 6? Matt?
First of all,

93
00:05:29;13 --> 00:05:32;08
Do you agree with this
hypothesis of negative 6?

94
00:05:32;13 --> 00:05:34;00
[Yeah]

95
00:05:34;02 --> 00:05:34;14
How come?

96
00:05:34;15 --> 00:05:41;13
[Because 4 plus negative 6
is negative 2.]

97
00:05:41;14 --> 00:05:48;00
Alright, fair enough.
Want to check it?

98
00:05:48;01 --> 00:05:49;04
[No]

99
00:05:51;04 --> 00:05:54;03
How would I check it? I
want to, how would I?

100
00:05:54;04 --> 00:05:56;03
[Put it in the calculator.]

101
00:05:056;00 --> 00:05:57;07
I'd have to what?

102
00:05:57;08 --> 00:05:58;10
[Grab your calculator]

103
00:05:58;11 --> 00:06:01;14
Grab your calculator. Yes,
that is one way to check it,

104
00:06:01;14 --> 00:06:04;03
But let's pretend I don't
have a graphing calculator

105
00:06:04;03 --> 00:06:10;05
At my disposal. Just expand
it back out. How about B

106
00:06:10;06 --> 00:06:14;09
And C and A again?
Yeah?  It will be fun.

107
00:06:14;10 --> 00:06:16;06
Julie, help me distribute

108
00:06:23;02 --> 00:06:40;11
[X parentheses X
plus negative 6]

109
00:06:40;12 --> 00:06:46;07
[and then 4 and
then x plus 4.]

110
00:06:51;03 --> 00:06:53;05
Good. Casey, help?

111
00:06:55;09 --> 00:07:02;03
[X squared and
then X negative 6]

112
00:07:02;04 --> 00:07:03;13
X to the negative 6?

113
00:07:03;14 --> 00:07:05;08
[No, X and negative 6]

114
00:07:05;09 --> 00:07:07;04
But what about X
and negative 6?

115
00:07:07;05 --> 00:07:08;09
[Times negative 6]

116
00:07:08;10 --> 00:07:11;10
OK, so, plus negative 6X.

117
00:07:11;11 --> 00;07:17;14
[And then 4X and 4
times negative 6.]

118
00;07:17;15 --> 00:07:21;08
So, negative 24?

119
00:07:21;09 --> 00:07:22;02
[Yes]

120
00:07:22;03 --> 00:07:24;02
OK, Kimberly, help?

121
00:07:25;09 --> 00:07:29;08
[Add the negative
6 plus the 4.]

122
00:07:29;09 --> 00:07:33;09
Collect the X terms and
what is negative 6 plus 4?

123
00:07:33;10 --> 00:07:35;05
[Negative 2X]

124
00:07:40;09--> 00:07:41;14
The same thing?

125
00:07:41;15 --> 00:07:42;07
[Yup]

126
00;07:42;08 --> 00:07:45;01
Did it work? Sweet!