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Algebra 20 Online
OpenStudy (sydney3545):

What is the 3rd term when 2y2 + 3y4 − 5y + 6y3 is arranged in descending order? A.) 2y2 B.) 3y4 C.) −5y D.) 6y3

jimthompson5910 (jim_thompson5910):

are you able to identify the exponents here?

OpenStudy (sydney3545):

Im really lost on this i dont even know how to start

jimthompson5910 (jim_thompson5910):

you have this as the problem \[\Large 2y^2 + 3y^4 - 5y + 6y^3\] right?

OpenStudy (sydney3545):

correct

jimthompson5910 (jim_thompson5910):

that is the same as \[\Large 2y^2 + 3y^4 - 5y^1 + 6y^3\]

jimthompson5910 (jim_thompson5910):

notice how 5y changed to 5y^1

jimthompson5910 (jim_thompson5910):

I'm marking the exponents in red \[\Large 2y^{\color{red}2} + 3y^{\color{red}4} - 5y^{\color{red}1} + 6y^{\color{red}3}\]

OpenStudy (sydney3545):

yes

jimthompson5910 (jim_thompson5910):

when they say "descending order", they want the exponents to decrease (ie count down)

jimthompson5910 (jim_thompson5910):

what is the largest exponent?

OpenStudy (sydney3545):

4

jimthompson5910 (jim_thompson5910):

so 3y^4 comes first the next largest exponent is 3, so 6y^3 comes next and so on

jimthompson5910 (jim_thompson5910):

what do you get when you arrange the terms in descending order?

OpenStudy (sydney3545):

so after i do that what should i do?

jimthompson5910 (jim_thompson5910):

can you write out the terms for me? when you've sorted them in descending order

OpenStudy (sydney3545):

3y^4 3y^4 6y^3 5^y1

OpenStudy (sydney3545):

or wait

OpenStudy (sydney3545):

3y^4 6y^3 2y^2 5y^1

jimthompson5910 (jim_thompson5910):

very good

jimthompson5910 (jim_thompson5910):

first term: 3y^4 second term: 6y^3 third term: 2y^2 fourth term: 5y^1

OpenStudy (sydney3545):

okay got it now what

jimthompson5910 (jim_thompson5910):

they want the third term and I listed it above

jimthompson5910 (jim_thompson5910):

and I listed it based off what you wrote

jimthompson5910 (jim_thompson5910):

so you're done at this point pretty much you just list that third term

OpenStudy (sydney3545):

so whats the anwser then

OpenStudy (sydney3545):

2y^2?

jimthompson5910 (jim_thompson5910):

2y^2, yep

OpenStudy (sydney3545):

THANKS

jimthompson5910 (jim_thompson5910):

you're welcome

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