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

- anonymous

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- anonymous

@Vocaloid

- steve816

Do you know what a degree is?

- anonymous

No.

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## More answers

- steve816

Well, if you do, it'll make this problem a lot easier.
The degree of a term is the exponent of the term. For example the term x^2 has a degree of 2.

- anonymous

Oooooh

- anonymous

@steve816 Can you help more?

- Vocaloid

look at each answer choice
then, for each of the answer choices, look at each term separately
for each term, add the exponents together
the greatest sum of the exponents will be the degree

- Vocaloid

as an example:
x + 2xyz
the first term is x and the sum of exponents is 1
the second term is 2xyz and the sum of the exponents is 1 + 1 + 1 = 3
so the degree is 3
keep going for all four expressions

- anonymous

then is the 2nd and 3rd choice 5?

- Vocaloid

2nd choice is 5
3rd choice is not 5. remember to look at each term separately

- Vocaloid

look at each term separately, add the exponents for each of the three terms separately, then see which of the three sums is the greatest

- anonymous

I still get 5...

- anonymous

@Vocaloid I still get 5... I'm sorry..

- Vocaloid

look at each term separately
what is the sum of the exponents on 18x^2?

- anonymous

2

- Vocaloid

good, what is the sum of the exponents on 5ab?

- anonymous

2

- Vocaloid

good, now what about -6y?

- anonymous

1

- Vocaloid

good, so our sums are 2, 2, and 1
the highest sum is 2, so the degree is 2, not 5

- anonymous

Ooooh I though you add them.

- Vocaloid

good, so whats the degree for the 4th choice?

- anonymous

Wait, but doesnt that make the 1st and 2nd both 3?

- Vocaloid

nope

- Vocaloid

2nd choice:
2x^3y^2
add the exponents

- Vocaloid

(you add the exponents WITHIN a term, not between terms)

- anonymous

So the order would be 4-2-1-3?

- Vocaloid

uh, not quite, least to greatest, remember?

- anonymous

Reverse it.

- Vocaloid

either way its not correct
lets start from the top, whats the degree for the first choice?

- anonymous

3

- anonymous

@Vocaloid ????

- Vocaloid

good, now second choice?

- anonymous

5

- Vocaloid

good, third choice?

- anonymous

2

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