Mathematics
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OpenStudy (anonymous):
h
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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?
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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
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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
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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
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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
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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
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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 ______
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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
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jimthompson5910 (jim_thompson5910):
nailed it
OpenStudy (anonymous):
thnk you :)