Question

Which of the following polynomials has a degree of 3?
A. x3y3 - 3xy
B. x + y + z
C. x2y + 5y2
D. x2y2 - y3

Answer 1

B. Because:

x^1 + y^1 + z^1

The sum of those exponents is 3.

Answer 2

it is c

Answer 3

No, it is not C. C is:

x^2y + 5y^2

The sum of those exponents is 4.

Answer 4

the degree of a polynomial= highest degree of a term of highest degree.
A is of 6 degree
B is of one degree
c is of third degree
D is of four degree.

Answer 5

we have to see the degree of highest degree.

Answer 6

I found this online:

If a polynomial has more than one variable, then the degree of that monomial is the sum of the exponents of those variables. In this polynomial, 24xyz, the degree is 3 because the sum of degrees of x, y and z is 1 + 1 + 1 = 3.

Answer 7

in c, x has degree 2,y of the same term has one degree
total=2+1=3

Answer 8

sum of exponents of one term, not of different terms.

Answer 9

x^2y^1 + 5y^2

The sum is 5.

Answer 10

24 xyz is of degree 3

Answer 11

\[x^2y+5y^2,~degree~ of~ highest~ term=2+1=3\]

Answer 12

\[x^2 y~and~5y^2 ~are~two~different~terms.\]

Answer 13

Ok, you win :).

Answer 14

it is not a matter of winning or losing ,i just told the reality.

Answer 15

Yes, you told the reality and I told fantasy.

Answer 16

i don't know where you read all this.
we used to teach in this way. according to you ,we are wrong.