anonymous
  • anonymous
what is the degree of the subsequent polynomial? x^5y^3-x^6y^8
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
anonymous
  • anonymous
can you draw it out?
anonymous
  • anonymous
@midhun.madhu1987

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anonymous
  • anonymous
anonymous
  • anonymous
I'm finding you help
UsukiDoll
  • UsukiDoll
what is the question asking for? the highest degree term?
anonymous
  • anonymous
\[x^{5}y ^{3}-x ^{6}y ^{8}\]
anonymous
  • anonymous
UsukiDoll
  • UsukiDoll
the highest degree term is usually the highest exponent number..
zzr0ck3r
  • zzr0ck3r
Its the sum of the variables in the term, when there is more than one variable.
anonymous
  • anonymous
my job here is done
wolf1728
  • wolf1728
I thought it was the highest exponent number also.
anonymous
  • anonymous
bye
UsukiDoll
  • UsukiDoll
but there's x and y. two variables. so we have to take the sum of those .. at least that's what @zzr0ck3r pointed out
zzr0ck3r
  • zzr0ck3r
So \(x^7y^5+x^3y^3+x^2y^2\) has degree \(12\) because \(12=7+5>3+3>2+2\)
UsukiDoll
  • UsukiDoll
there's no all x. it's like comparing 5+3 to 6+8 in this problem .
zzr0ck3r
  • zzr0ck3r
This is from wiki...
wolf1728
  • wolf1728
Wow - that's new to me. I thought it was just the largest exponent of ANY variable.
zzr0ck3r
  • zzr0ck3r
It is sort of a silly thing to have a definition for. Anyone who would want to to know about the "degree" of a polynomial with more than one variable, I am sure they would want to know information about each variable. So to even have a name for that seems silly, but it does generalize down to the normal definition with one variable.
zzr0ck3r
  • zzr0ck3r
Also, definitions change from book to book, so wiki could be "wrong".
UsukiDoll
  • UsukiDoll
@zzr0ck3r is right... it's just that I haven't dealt with more than one variable in a while, but it is the sum... for one variable it's the highest number.
zzr0ck3r
  • zzr0ck3r
Much bigger concepts do not have definitions that are universal. example: \(\mathbb{N}\)
UsukiDoll
  • UsukiDoll
natural numbers
zzr0ck3r
  • zzr0ck3r
Some books include \(0\) and some don't.
zzr0ck3r
  • zzr0ck3r
Huge difference...
anonymous
  • anonymous
thank you all!

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