- anonymous

what is the degree of the subsequent polynomial?
x^5y^3-x^6y^8

- katieb

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- anonymous

- anonymous

can you draw it out?

- anonymous

@midhun.madhu1987

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## More answers

- anonymous

@arindameducationusc

- anonymous

I'm finding you help

- UsukiDoll

what is the question asking for? the highest degree term?

- anonymous

\[x^{5}y ^{3}-x ^{6}y ^{8}\]

- anonymous

yes! @UsukiDoll

- UsukiDoll

the highest degree term is usually the highest exponent number..

- zzr0ck3r

Its the sum of the variables in the term, when there is more than one variable.

- anonymous

my job here is done

- wolf1728

I thought it was the highest exponent number also.

- anonymous

bye

- 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

So \(x^7y^5+x^3y^3+x^2y^2\) has degree \(12\) because \(12=7+5>3+3>2+2\)

- UsukiDoll

there's no all x.
it's like comparing 5+3 to 6+8 in this problem .

- zzr0ck3r

This is from wiki...

- wolf1728

Wow - that's new to me. I thought it was just the largest exponent of ANY variable.

- 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

Also, definitions change from book to book, so wiki could be "wrong".

- 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

Much bigger concepts do not have definitions that are universal.
example: \(\mathbb{N}\)

- UsukiDoll

natural numbers

- zzr0ck3r

Some books include \(0\) and some don't.

- zzr0ck3r

Huge difference...

- anonymous

thank you all!

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