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\[x + 2xyz=x + 2x^1y^1z^1\] has degree \(1+1+1=3\)

\[9x^3y^2\] has degree \(3+2=5\)

i bet you can do the rest

if not, i can check

would this be number three?
\[18^2 +5a^1b^1-6y^-1\]

that's -6y^1 but I think the one is negative

\[18x^2 + 5ab − 6y\] has degree 2

oh okay so if it doesn't show an exponent then you kind of make your own

yeah i have a feeling you don't quite get this
am i right?

yup

ok here is a polynomial with three terms
\[xy^2+x^2y^2+2xy\]

so the degrees are the exponents added up

and whichever has the highest degree is the degree of the polynomial?

sorry if I repeat things, just trying to get it through to myself

that is fine

you are right, the degree of the polynomial is the degree of the term of highest degree

with that in mind, what is the degree of
\[4x^4 + 3x^2 − x − 4\]?

the degree of the polynomial would be 4 because of 4x^4

yes

a polynomial cannot have a term of negative degree

yes

okay gotcha

btw the degree of a constant is zero

III, I, IV, II
IV, I, II, III
III, II, IV, I
IV, III, I, II
these were the answer choices btw lol

what's a constant?

lol i will let you order them yourself, you got them all right

it's a

\[x^2-5x+\color{red}3\] the constant is \(\color{red}3\)

yeah it is A

so one with no exponent or variable, just a flat out number

right
called a "constant" because it does not depend of what \(x\) is

i have a question
do you know what \\[2x^3+5x^2+4x+7\] is if \(x=10\)?

\[2(10)^3+5(10)^2+4(10)+7\]
\[2(1,000)+5(100)+40+7\]
two thousand five hundred and forty seven

right
so you see we write our whole numbers as polynomials, using base ten (instead of x)

\[2(10)^3+5(10)^2+4(10)+7=2547\]

okay :-) can you help me with some more questions?

it's like two or three more, one I think I got down

sure

4x^2 + 3xy + 12yz
this would be a second degree trinomial correct?

yes

okay that's what I put, next one

Is it C?

Because I think that terms are the sets in the polynomial

the "number of terms"? yeah we can count for sure

you are right, it is C

I feel like it's C again

not this time

a polynomial cannot have a variable in the denominator

" The expression has a variable raised to a fraction." actually makes no sense at all
go with D

oh okay, I thought fractions weren't supposed to be in polynomials period lol

unless it means something iike
\[x^{\frac{2}{3}}\]which is NOT a polynomial

the coeficients can be fractions
\[\frac{4}{5}x^2\] is a polynomial

standard form means order the terms from highest degree to lowest degree

Then D

yes

I got a one hundred, thank you so much!!

yay
yw
see you in lala land

Lol! I'll probably need help tomorrow, will you still be on?

always glad to help someone who is actually trying

probably
you can always tag me if you like

Okay :) thank you so much, I have to go to sleep now. Good night!

sometime around 9:30 or 10 usually
gnight