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anonymous

  • one year ago

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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  1. anonymous
    • one year ago
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    @Vocaloid

  2. steve816
    • one year ago
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    Do you know what a degree is?

  3. anonymous
    • one year ago
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    No.

  4. steve816
    • one year ago
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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.

  5. anonymous
    • one year ago
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    Oooooh

  6. anonymous
    • one year ago
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    @steve816 Can you help more?

  7. Vocaloid
    • one year ago
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    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

  8. Vocaloid
    • one year ago
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    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

  9. anonymous
    • one year ago
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    then is the 2nd and 3rd choice 5?

  10. Vocaloid
    • one year ago
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    2nd choice is 5 3rd choice is not 5. remember to look at each term separately

  11. Vocaloid
    • one year ago
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    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

  12. anonymous
    • one year ago
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    I still get 5...

  13. anonymous
    • one year ago
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    @Vocaloid I still get 5... I'm sorry..

  14. Vocaloid
    • one year ago
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    look at each term separately what is the sum of the exponents on 18x^2?

  15. anonymous
    • one year ago
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    2

  16. Vocaloid
    • one year ago
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    good, what is the sum of the exponents on 5ab?

  17. anonymous
    • one year ago
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    2

  18. Vocaloid
    • one year ago
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    good, now what about -6y?

  19. anonymous
    • one year ago
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    1

  20. Vocaloid
    • one year ago
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    good, so our sums are 2, 2, and 1 the highest sum is 2, so the degree is 2, not 5

  21. anonymous
    • one year ago
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    Ooooh I though you add them.

  22. Vocaloid
    • one year ago
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    good, so whats the degree for the 4th choice?

  23. anonymous
    • one year ago
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    Wait, but doesnt that make the 1st and 2nd both 3?

  24. Vocaloid
    • one year ago
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    nope

  25. Vocaloid
    • one year ago
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    2nd choice: 2x^3y^2 add the exponents

  26. Vocaloid
    • one year ago
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    (you add the exponents WITHIN a term, not between terms)

  27. anonymous
    • one year ago
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    So the order would be 4-2-1-3?

  28. Vocaloid
    • one year ago
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    uh, not quite, least to greatest, remember?

  29. anonymous
    • one year ago
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    Reverse it.

  30. Vocaloid
    • one year ago
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    either way its not correct lets start from the top, whats the degree for the first choice?

  31. anonymous
    • one year ago
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    3

  32. anonymous
    • one year ago
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    @Vocaloid ????

  33. Vocaloid
    • one year ago
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    good, now second choice?

  34. anonymous
    • one year ago
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    5

  35. Vocaloid
    • one year ago
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    good, third choice?

  36. anonymous
    • one year ago
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    2

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