Organize the following polynomial expressions from least to greatest based on their degree: x + 2xyz 9x3y2 18x2 + 5ab − 6y 4x4 + 3x2 − x − 4

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions.

A community for students.

Organize the following polynomial expressions from least to greatest based on their degree: x + 2xyz 9x3y2 18x2 + 5ab − 6y 4x4 + 3x2 − x − 4

Algebra
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions

\[x + 2xyz=x + 2x^1y^1z^1\] has degree \(1+1+1=3\)
\[9x^3y^2\] has degree \(3+2=5\)
i bet you can do the rest

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

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 \[xy^2+x^2y^2+2xy\]
each term has a degree ' the degree of \[xy^2\] is \[1+2=3\] th degree of \(x^2y^2\) is \(2+2=4\) and the degree of \(2xy\) is \(1+1=2\)
so the degrees are the exponents added up
the "degree of the polynomial" is the degree of the term of highest degree, so the degree of \[xy^2+x^2y^2+2xy\] is \(4\)
yes, the degree of each term is the sum of the degrees of each variable so for example the degree of \(xy^2z^4\) is \(7\)
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
so for example if you just have on variable, the degree of say \[2x^5+3x^2+5x+1\] is \(5\) but if you have more than one variable you have to add the degrees of each variable
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
\[4x^4+3x^2-x-4\] first set has a degree of four, second set has a degree of two, and the third I think it's one but I'm not sure if it's negative one
a polynomial cannot have a term of negative degree
x + 2xyz degree of 3 9x3y2 degree of 5 18x2 + 5ab − 6y degree of 2 I'm pretty sure 4x4 + 3x2 − x − 4 4
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)
\[2(10)^3+5(10)^2+4(10)+7=2547\]
keep that in mind when you learn to add, subtract and multiply polynomials it works pretty much the same way as with whole numbers of course there are some differences, but it is basically the same
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
Organize the following expressions from greatest to least by number of terms: x + 2xyz 9x2yz 18x2 + 5ab − 6y 4x3 + 3x2 − x − 4 Answers: III, IV, I, II IV, I, II, III IV, III, I, II III, II, IV, I
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
Which statement best demonstrates why the following is a non-example of a polynomial? \[\frac{ 33y^2 }{ x^2 } - 62y^2xz-35z^2y^2\] The expression has a variable raised to a negative exponent. The expression has a negative coefficient. The expression has a variable raised to a fraction. The expression has a variable in the denominator of a fraction.
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
Last one :) Which of the following shows 9x^2y − 4x + 3y^3x − 2y^2 written in standard form? 9x^2y − 4x + 3y^3x − 2y^2 3y^3x − 2y^2 + 9x^2y − 4x 9x^2y − 4x − 2y^2 + 3y^3x 3y^3x + 9x^2y − 2y^2 − 4x
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

Not the answer you are looking for?

Search for more explanations.

Ask your own question