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Mathematics 15 Online
OpenStudy (anonymous):

h

jimthompson5910 (jim_thompson5910):

To arrange in descending order, you just start with the term with the largest exponent. Then you move onto the next largest exponent and so on...

jimthompson5910 (jim_thompson5910):

what do you get when you write it in standard form?

OpenStudy (anonymous):

what is standerd for again?

jimthompson5910 (jim_thompson5910):

basically where the terms are sorted in a way that the largest exponent comes first, the next largest exponent comes next, etc etc

jimthompson5910 (jim_thompson5910):

what is the largest exponent here?

OpenStudy (anonymous):

6y^3

jimthompson5910 (jim_thompson5910):

are you looking at the 6?

jimthompson5910 (jim_thompson5910):

that's not an exponent, that's a coefficient

OpenStudy (anonymous):

^3?

jimthompson5910 (jim_thompson5910):

good, that's the exponent for 6y^3

jimthompson5910 (jim_thompson5910):

is that the largest exponent of all the terms?

OpenStudy (anonymous):

no theres a ^4

jimthompson5910 (jim_thompson5910):

is there anything larger? or is that the largest exponent?

OpenStudy (anonymous):

its the largest

jimthompson5910 (jim_thompson5910):

good, so that's the first term

jimthompson5910 (jim_thompson5910):

3y^4 is the first term aka, the leading term

jimthompson5910 (jim_thompson5910):

what's the next term?

jimthompson5910 (jim_thompson5910):

we have an exponent of 4 (largest exponent) what's the next largest exponent you see?

OpenStudy (anonymous):

-5y

OpenStudy (anonymous):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

look at the exponents, not the coefficients

OpenStudy (anonymous):

there are no more @jim_thompson5910

jimthompson5910 (jim_thompson5910):

list out just the exponents for me please

OpenStudy (anonymous):

in order from big to small?

jimthompson5910 (jim_thompson5910):

yes or just list out the exponents for me

OpenStudy (anonymous):

2y^2+3y^4-5y+6y^3

jimthompson5910 (jim_thompson5910):

that's the original expression what are the exponents?

OpenStudy (anonymous):

^2^4^3

jimthompson5910 (jim_thompson5910):

or just 2, 4, 3 because \(\large -5y = -5y^{1}\), this means that 1 is also an exponent

jimthompson5910 (jim_thompson5910):

so the exponents are 2, 4, 1, 3

jimthompson5910 (jim_thompson5910):

sort that in descending order to get _______

OpenStudy (anonymous):

4,3,2,1

jimthompson5910 (jim_thompson5910):

good

jimthompson5910 (jim_thompson5910):

so the term with an exponent of 4 will come first the term with an exponent of 3 will come next etc etc

jimthompson5910 (jim_thompson5910):

so if you were to arrange 2y^2+3y^4-5y+6y^3 into standard form, you'd get ______

OpenStudy (anonymous):

3y^4, 6y^3, 2y^2, -5y

jimthompson5910 (jim_thompson5910):

very good

jimthompson5910 (jim_thompson5910):

the last step is to add them all up to get 3y^4+6y^3+2y^2+(-5y) 3y^4+6y^3+2y^2-5y

jimthompson5910 (jim_thompson5910):

So the third term is ______

OpenStudy (anonymous):

so the third term would be 2y^2

jimthompson5910 (jim_thompson5910):

nailed it

OpenStudy (anonymous):

thnk you :)

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