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

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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

Mathematics
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Do you know what a degree is?
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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.
Oooooh
@steve816 Can you help more?
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
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
then is the 2nd and 3rd choice 5?
2nd choice is 5 3rd choice is not 5. remember to look at each term separately
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
I still get 5...
@Vocaloid I still get 5... I'm sorry..
look at each term separately what is the sum of the exponents on 18x^2?
2
good, what is the sum of the exponents on 5ab?
2
good, now what about -6y?
1
good, so our sums are 2, 2, and 1 the highest sum is 2, so the degree is 2, not 5
Ooooh I though you add them.
good, so whats the degree for the 4th choice?
Wait, but doesnt that make the 1st and 2nd both 3?
nope
2nd choice: 2x^3y^2 add the exponents
(you add the exponents WITHIN a term, not between terms)
So the order would be 4-2-1-3?
uh, not quite, least to greatest, remember?
Reverse it.
either way its not correct lets start from the top, whats the degree for the first choice?
3
good, now second choice?
5
good, third choice?
2

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