Datasets:
NationalTutoringObservatory
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MathEd-PII

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volunteer
OK, no problem. We can do it from here. So you
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student
I sit up and, and come back to it.
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volunteer
mhm
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volunteer
So you know how, one moment, I shall return shortly. I want to see
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volunteer
if cats are OK
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volunteer
Yeah
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volunteer
I'm
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volunteer
interestingly
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volunteer
Hello, sorry about that. I have returned.
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volunteer
You know seems like you either have bad internet or like you're far away from your mic, but I do see your oh, I just want to wait, where'd your screen go?
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student
Can you hear me
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volunteer
Yes, now I can
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student
OK. I'm
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volunteer
OK, I can see your screen now. Can you try talking?
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student
Yeah, can you hear me?
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volunteer
Yes, now I can
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student
OK.
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volunteer
OK. So you see how it does a dip and then comes back up at -3, like it's a quadratic.
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student
Yes
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volunteer
All right, so basically when it
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student
Wait, how is it quadratic? Isn't it exponent since like it goes like 2 times.
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volunteer
Yes, this would be to the 4th.
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student
24
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volunteer
but you, not like that would, that's what the graph entirely would be. You see how it goes.
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student
Oh he's cute.
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volunteer
No, cubed only goes, um, it, it comes from down and then goes up, down up. This one goes up, down, up, down, up.
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student
So.
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volunteer
Like a cubed would only have it go like that once.
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volunteer
But you see how at
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volunteer
um -3 and 6, it does a thing like a quadratic would do.
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student
such is the, the thing like this.
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volunteer
Yeah, it touches the graph once and then comes back up.
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student
Yeah.
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volunteer
Basically, it is a quadratic at that
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volunteer
location. So the multiplicity there, remember how we were talking about multiplicities before?
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volunteer
What like our first question
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volunteer
Uh oh.
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volunteer
it appears you have
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volunteer
left again
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student
Hello
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volunteer
Hello, I can hear you now
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student
I, I don't know why. It's
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student
yeah.
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volunteer
No problem. But either way, I was explaining that, you know how we talked about multiplicities at the start of the session.
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student
Yeah
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volunteer
Well, there would be a multiplicity on those two spots, and the, it would be a multiplicity of 2.
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volunteer
Basically, it would become 0 there twice, which is why it bounces up off of the graph.
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volunteer
Does that make sense
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student
Can you hear me
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volunteer
I am. Yes, I can hear you now.
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volunteer
And I have your screen again
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volunteer
You are sort of muffled, however.
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student
Oh wait, can you hear me now
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volunteer
Yes, now I can
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student
OK.
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volunteer
All right. So you see how it bounces up off of those two though?
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student
Yes
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volunteer
So that would be a multiplicity of two there, because it's basically a quadratic, so it reaches zero there twice.
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student
OK
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volunteer
And so that's why there's a squared there, because if it bounces off of the graph like that, it means that it reaches that function as a zero twice.
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volunteer
Does that make sense
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student
Oh, so like, if it doesn't cross it, is what you're saying?
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volunteer
Yeah. So if it doesn't cross it and it bounces back from where it came, that means there's a multiplicity there of 2.
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student
So what do you mean bounce back? Like, do you mean like
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volunteer
But you notice how at -3 it doesn't cross the x-axis, it goes back up afterwards.
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student
Yeah, yeah. Yeah, yeah.
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volunteer
That would be a bouncing back.
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student
Like, like it stays like on the past like it stays on like.
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student
it it didn't and it like it didn't like it doesn't cross this.
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student
that
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volunteer
Correct, yeah. You see how it goes back up
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student
Yeah
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volunteer
Yeah, so that would be why.
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student
It's quadratic
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student
so it's 2 times
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student
Hm.
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student
I can't hear you
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student
Hello
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student
Are you talking
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student
I can't hear you
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student
Uh
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student
hello?
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student
Can you hear me? I can't hear you.
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volunteer
Hello, can you hear me
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student
Yeah, yeah, now I can hear you
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volunteer
OK. I, so sorry. I tried joining on my phone because the screen wasn't working, but my phone doesn't allow the mic.
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volunteer
but I am back now and I have your screenish.
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student
OK
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student
So it will be
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student
so 3 would beX + 3 and X + 6.
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student
So would it
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volunteer
Would it be X + X
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student
oh no, X minus 6.
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volunteer
Yes, and then they'd both be squared because you see how they bounce.
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student
It bounces back
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volunteer
Yeah.
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volunteer
Good job
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student
OK
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student
The degree of X, bro, how do I know the degree of the headaches?
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volunteer
Well, you see how, remember what I said, the degree of X is how many times it would.
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