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NationalTutoringObservatory
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MathEd-PII

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volunteer
Is there
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volunteer
is that a more? Is there more?
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volunteer
No, that's it.
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student
No, that's it, but let me see what it says.
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student
Oh, it's a term, not the, oh, it's not actually
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student
Yeah
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student
Yeah.
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student
for like
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volunteer
Oh, not coefficient term. OK, that was both of our bats, but I'll, yeah, OK. So now it says, what is the leading term? and so this would be X to the 5th, good.
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student
eggs, yeah
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student
and those
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volunteer
And then it's asking for the leading term again. And so this would be
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volunteer
good.
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student
oi fish. OK, now it's I can pull you pushing.
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volunteer
Now it's coefficient. So what would this be? What would the highest
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student
on the
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volunteer
exponent be
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volunteer
Yep
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volunteer
Then leading coefficient again, 2. Good.
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student
Did they
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volunteer
So what is the highest, what is the degree of the polynomial F of X.
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volunteer
And so can you tell me what
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volunteer
hm?
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student
it's for degree. Is it asking for eyes or like, it didn't say IS furlough, it just says.
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volunteer
Well, it doesn't have to be the highest. The degree of a polynomial is the highest ex bonum.
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student
Yeah, oh, OK
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volunteer
So you would, so it would
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volunteer
so if it, if, yes, it would be the highest numbered exponent there.
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student
Yeah
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student
OK
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student
So it'll be 3
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volunteer
Good
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volunteer
Is this studying or is this an assignment?
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student
It's both, but like
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student
but like if you get like kind of, if you get
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student
a question wrong, you could explain it to you, then you could do it over with a different question.
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volunteer
All right
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student
I like both
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volunteer
All right, so what is, mhm, yeah, I got you. So what is the Y intercept of the polynomial? Do you know what the Y intercept is?
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student
uh
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student
is the EpiPen?
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volunteer
Yep, so basically the Y intercept is basically where X would touch the y axis, right?
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student
Mhm
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volunteer
And so at the Y axis is when X equals 0.
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student
Yeah. Also, uh,
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volunteer
So you would plug in 0 to all of the X values, and that would be your Y intercept.
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student
so F of 0, please.
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student
What times 0 minus
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student
0
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volunteer
What do you think in here?
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student
So the 0.
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volunteer
That's what I got cause we would just plug in 0 for all of the X values.
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student
and it's uh
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volunteer
So 0 minus 0 minus 0.
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volunteer
Good.
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student
yeah
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volunteer
So remember that the Y intercept is just the
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student
Was it always gonna be 0,000?
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volunteer
it will not always be zero. Basically the Y intercept would be when X is equal to 0.
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volunteer
So there are some like if there wasn't, like if there was just like a plus.
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student
Oh
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student
Oh yeah, yeah
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volunteer
Yeah, so if there was like a +3 at the end, then it would be 3.
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student
Yeah, without, without the eggs.
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student
Yeah. E.
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student
Oh, yeah
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student
Oh yeah
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student
20
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volunteer
Or if it was like E to the X that to the zero, well, I'm just saying like if it was a number to the X and X is equals 0, then it would equal 1. But for the problems that have shown you so far, just remember that the Y intercept is when X, you said X equals 0.
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volunteer
and it would be that value
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volunteer
All right.
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student
OK, I really do not like grafting.
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volunteer
graph is shown below. What are all real solutions of FFX.
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volunteer
equals 0
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student
Would that be like the X numbers?
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volunteer
Yep, it would be the X intercept.
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student
Well, I, it was negative.
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student
2.
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volunteer
So is it asking you what are they? or is it asking you how many are there?
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student
What are
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volunteer
What are they? OK, so where would it cross the
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volunteer
X-axis
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student
negative 20, and 4.
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volunteer
Good. And
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volunteer
-204, you see how there's one more?
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student
Oh
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volunteer
Yeah, it would be every time it crosses the X axis.
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student
8. I, well, I always forgetting that.
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volunteer
No problem
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student
OK, what is a conjugate?
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volunteer
Uh, what is the conjugate of, all right, so this is for imaginary numbers, right?
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student
Mhm
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volunteer
So do you remember how they always come in pairs of two.
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student
I kind of forgot
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volunteer
No problem. So basically, when there is imaginary numbers, right? It would be a number minus that Y value and then that same number plus that, that y value.
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volunteer
So
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student
Hmm? Like, can you repeat that?
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volunteer
yes, 4 negative numbers when they come in conjugate pairs.
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student
Mm.
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volunteer
Like you know how the quadratic formula is plus or minus that number.
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