Question

how do i find the degree of a polynomial?

Answer 1

let me give you an example @Ashley16

Answer 2

okk

Answer 3

a^3 - 2a^2 + 4a + 5

Answer 4

what would be the degree?

Answer 5

it's important to note that all you need to do is find the highest exponent to find the degree if there is only one variable
for example in\[x^3+6x^2-5x+7\]the degree is 3 (the highest exponent is on the first term, which is 3

but if you have more than one variable you must add the exponents of each term to find the highest

Answer 6

your problem is almost identical to my example :P
oh well...

Answer 7

so what would be the degree of mine @TuringTest

Answer 8

its just the hisghest exponent?

Answer 9

highest?

Answer 10

yes, which is what in your case?

Answer 11

3 :)

Answer 12

yep like I said, almost identical to mine
I typed mine first though :P

Answer 13

haha thanks alot

Answer 14

but for situations like\[2x^2y^3+5-7y^4+3x^2y\]you have too add the exponents of each term....

Answer 15

oh crap

Answer 16

how do i know if you add them or not?

Answer 17

first term: 2+3=5
second term: 0
third term: 4
fourth term 2+1=3

try to follow that

Answer 18

8x^2

Answer 19

that would be just 2?

Answer 20

the term with the highest degree is again the first one, because upon adding the exponents of the variables of that term we get 5, the highest of all

any time you have variables mixed
the degree of the term \[z^5x^3y^7\]is
5+3+7=15

Answer 21

any time you have variable mixed you need to add the exponents to find the degree*

Answer 22

variables*

Answer 23

so on this one

Answer 24

3a^5 - 2a^2b^3c + 4ab^2

Answer 25

its 5 right?

Answer 26

I don't know, let's see ;)
what is the degree of the first term?

Answer 27

5

Answer 28

right
what is the degree of the second term?

Answer 29

2

Answer 30

sorry, incorrect
notice we have more than one variable in the second term
we have three: a, b, and c

Answer 31

2,3 and 1?

Answer 32

as I said above, when that is the case we need to \(add\) the exponents

Answer 33

but look

Answer 34

I see :)

Answer 35

A. 6
B. 5
C. 4
D. 3

Answer 36

those are the choices

Answer 37

and the correct answer is on the list

Answer 38

5 right?

Answer 39

what is the term of the second polynomial?
what is the rule I keep talking about for having a term with multiple variables?

Answer 40

add them all

Answer 41

and what is the total of those exponents in the second term?

Answer 42

6 right?

Answer 43

becuase the c is c^1?

Answer 44

right :)
and what about the third term?

Answer 45

3

Answer 46

correct
so the highest one is...?

Answer 47

6 :)

Answer 48

yep :D

Answer 49

yayy :)

Answer 50

yay indeed :)
happy to help those who are are happy to be helped

Answer 51

thank you