anonymous
  • anonymous
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
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
@Vocaloid
steve816
  • steve816
Do you know what a degree is?
anonymous
  • anonymous
No.

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More answers

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

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