Question

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

Answer 1

@UsukiDoll

Answer 2

can you draw it out?

Answer 3

@midhun.madhu1987

Answer 4

@arindameducationusc

Answer 5

I'm finding you help

Answer 6

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

Answer 7

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

Answer 8

yes! @UsukiDoll

Answer 9

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

Answer 10

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

Answer 11

my job here is done

Answer 12

I thought it was the highest exponent number also.

Answer 13

bye

Answer 14

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

Answer 15

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

Answer 16

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

Answer 17

This is from wiki...

Answer 18

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

Answer 19

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.

Answer 20

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

Answer 21

@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.

Answer 22

Much bigger concepts do not have definitions that are universal.

example: \(\mathbb{N}\)

Answer 23

natural numbers

Answer 24

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

Answer 25

Huge difference...

Answer 26

thank you all!