Question

Which is true about the polynomial –3xy2 + 5x2y?

a) It is a binomial with a degree of 2.
b) It is a binomial with a degree of 3.
c) It is a trinomial with a degree of 2.
d) It is a trinomial with a degree of 3.

Answer 1

it is a binomial with a degree of 3

Explanation:

`-3xy^2+5x^2y`

Degree is the highest degree of all the terms. Degree of each term can be found by adding the exponent of all the variables .

Degree of -3xy^2 is

x or x^1 are same

-3x^1y^2 so degree is 1+2 =3

5x^2 y , y or y^1 are same

5x^2y^1, so degree is 2+1= 3

We have two terms -3xy^2 and 5x^2y

So it is a binomial

Highest degree is 3

So it is a binomial with a degree of 3

Answer 2

b) It is a binomial with a degree of 3.

Explanation:

We need to find about which is true about the polynomial –3xy2 + 5x2y from the given choices.

There are two terms so it is binomial.

Sum of exponents of variables in first term = 1+2=3

Sum of exponents of variables in 2nd term = 2+1=3

Highest exponent on variable is 3 so degree is 3.

Correct matching choice is "It is a binomial with a degree of 3."

Hence final answer is choice "b) It is a binomial with a degree of 3."