Question

State the degree of the following polynomial: -2x^4y +xy-y

I am a bit confused:
is it each part is one set or is it by letters
Is this right?:
The degree of -2x^4y is 4
The degree of xy is 1
The degree of y is 1

I am confused on if you are suppose to take the -2x^4 and split it but it is one part I think not to different parts. I am probably just reading to much into it right!

Answer 1

No degree is given for the polynomial as a whole

Answer 2

teh degree is 5

Answer 3

the degree of the polynomial is 5

Answer 4

here degree is 5

Answer 5

This is a polynomial in two variables. The term of highest degree is
\[-2 x ^{4} y.\]
The degree, then, is 4 + 1. Fifth degree polynomial.

Answer 6

in first term there are two variables x and y
x has index 4
y has index 1
so sum of their indexes is 5

Answer 7

hence degree of the polynomial is 5

Answer 8

sorry the site wasn't loading right so I exited out and started supper.
(The only thing is there is no where in my book that says how we do these, and just in case you needed to know what class it is intermediate algebra)
so:
The degree of 2x^4y=5
The degree of xy=2
and the degree of y is 1

Is this correct then (I hope you didnt all run off, lol. Thanks for your help!

Answer 9

You are correct.

Answer 10

:^)

Answer 11

@Nickie_s
U have to give the degree of the polynomial as a whole and not of each term...
so u need not write degree of each term separately....

Answer 12

I don't know if your text book covers polynomials in several variables or not. You can google multinomials (another term for multivariable polynomials) for more information on them.