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MathEd-PII

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8
volunteer
And then we plug in 3, which would be negative times of positive, times of positive, times of OK, so I see.
16,453
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[]
volunteer
So if we plug in 3 here, that'd be negative times the positive times the positive times the positive, right?
16,453
914
[]
volunteer
which would still be negative
16,453
915
[]
volunteer
Does that make sense
16,453
916
[]
volunteer
And that's why it's also negative for the last two, because it'd be negative times the rest positive.
16,453
917
[]
student
Um
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918
[]
volunteer
right?
16,453
919
[]
student
is it a 3? You did 3, right?
16,453
920
[]
volunteer
Yeah, I, I mean, yeah, 3 would, yes, 3.
16,453
921
[]
student
So it'll be negative times of positive, that will be positive.
16,453
922
[]
volunteer
So that
16,453
923
[]
volunteer
yeah, so they'd all be positive. So that means that
16,453
924
[]
student
Times are positive, that'll be positive, kinds of positive.
16,453
925
[]
volunteer
so that means it's 1 x 3 positives, which is negative.
16,453
926
[]
volunteer
And that's why the last two are negative.
16,453
927
[]
student
Wow, I thought, how is it negative if it's one negative by 3 positives.
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928
[]
volunteer
because it's not multiplying itself by another negative, so it doesn't become positive.
16,453
929
[]
student
So is that always the case?
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930
[]
volunteer
Yep
16,453
931
[]
volunteer
As long as it's not a negative times a negative.
16,453
932
[]
volunteer
It will never become positive.
16,453
933
[]
volunteer
Like it can be a negative times 20, it would still be negative because it's not negative times a negative.
16,453
934
[]
student
So
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935
[]
volunteer
Does that make sense? Cause if you put a negative in front of any number, it's negative, right?
16,453
936
[]
student
to leave on the
16,453
937
[]
student
ne g ative negative.
16,453
938
[]
student
ice and they.
16,453
939
[]
student
OK, let me see this one.
16,453
940
[]
student
To be honest, I still don't get how this is equal to negative because if it's negative times of positive, it's positive. Times of positive is positive, times are positive.
16,453
941
[]
volunteer
Now, a negative times a positive is a negative, right?
16,453
942
[]
student
Yeah
16,453
943
[]
volunteer
So what would be a negative times a positive.
16,453
944
[]
volunteer
negative, right
16,453
945
[]
student
negative
16,453
946
[]
student
Oh
16,453
947
[]
student
Oh
16,453
948
[]
volunteer
That there would be a negative and positive, which is negative, and then negatives of positive, which is negative.
16,453
949
[]
student
Oh
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950
[]
volunteer
Yeah, but if it was a negative times a negative times a positive would be positive.
16,453
951
[]
student
Yeah
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952
[]
volunteer
All right
16,453
953
[]
volunteer
identify the real roots of the function, then use those real roots.
16,453
954
[]
volunteer
to fill in the side table below
16,453
955
[]
volunteer
So you see what we plug in here.
16,453
956
[]
volunteer
What would, what
16,453
957
[]
student
Well,
16,453
958
[]
student
only see one.
16,453
959
[]
volunteer
well, let's see. So there's an X on the outside, right? So how would x equals 0?
16,453
960
[]
student
huh
16,453
961
[]
student
Oh
16,453
962
[]
volunteer
What, well, so if there's an X on the outside, how would you equal that to 0?
16,453
963
[]
student
I don't know
16,453
964
[]
volunteer
X times what is 0.
16,453
965
[]
student
From 0
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966
[]
volunteer
Yeah, so it'd be 0 there
16,453
967
[]
volunteer
because you just, if X is equal to 0, that means it's equal to 0.
16,453
968
[]
student
Wait, so because they're an egg from the outside.
16,453
969
[]
student
that's 0
16,453
970
[]
volunteer
Yeah, if there's an X on the outside, it means that the root, that one of the roots is 0.
16,453
971
[]
student
Oh, OK
16,453
972
[]
volunteer
because you just plug in 0 and it's 0 and a route is when X equals 0. So if the equation is X, when would it equal 0?
16,453
973
[]
volunteer
0, no, no, no, no, no, no, don't, don't do it yet.
16,453
974
[]
volunteer
And so the next one is 2 x + 3. What would X have to equal there for it to be 0.
16,453
975
[]
student
0
16,453
976
[]
volunteer
It would be
16,453
977
[]
volunteer
-3 halves, right?
16,453
978
[]
student
Oh yeah
16,453
979
[]
volunteer
Cause
16,453
980
[]
volunteer
yep
16,453
981
[]
student
-3
16,453
982
[]
volunteer
-3 halves
16,453
983
[]
volunteer
-3 over 2, because then it would be -3 times 2, 3/2 times 2 is just -3, and the 3 + 3 is 0.
16,453
984
[]
student
-3 over 2 times.
16,453
985
[]
student
3/2 times 2 is 3.
16,453
986
[]
volunteer
Yeah, because you see how it's divided by 2 and then multiple 2.
16,453
987
[]
student
0, 1.5 plus 1.5, OK.
16,453
988
[]
volunteer
Uh-huh.
16,453
989
[]
student
So it'll be like, it will be 3 halves.
16,453
990
[]
volunteer
yep, no, -3 halves.
16,453
991
[]
student
Oh yeah
16,453
992
[]
volunteer
because it's +3 still, right?
16,453
993
[]
student
Mhm
16,453
994
[]
student
And the last one is easy.
16,453
995
[]
volunteer
Yup. So click next
16,453
996
[]
volunteer
And so,
16,453
997
[]
student
Oh my God, I'm not like I charts.
16,453
998
[]
volunteer
what's the, what's a, what's a number less than -3 halves, 2, right?
16,453
999
[]
student
Oh yeah, make sense
16,453
1,000
[]
volunteer
OK, so it would be, so how would you do this?
16,453
1,001
[]
student
So
16,453
1,002
[]
student
we're gonna input -2 into the function.
16,453
1,003
[]
student
So this will be a negative.
16,453
1,004
[]
volunteer
Yup
16,453
1,005
[]
student
So
16,453
1,006
[]
student
negative times to in a good 4 + 3. This will be a negative.
16,453
1,007
[]
volunteer
Yup
16,453
1,008
[]
volunteer
yup
16,453
1,009
[]
student
and this would be a negative. So this would be a negative.
16,453
1,010
[]
volunteer
Uh, yup
16,453
1,011
[]
student
We do always do less than.
16,453
1,012
[]