Question

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

Answer 1

It is Three degree binomial.

Explanation:

Polynomials can be classified by two different ways :- first, by the number of terms and by their degree.

1) By The Count of number of terms

1. A monomial has one term.(example :- x²)
2. A binomial has two terms (example : - x²+5x)
3. A trinomial has three terms (example : - y²+5y+2)
4. Any polynomial with four or more terms is called a polynomial.

1) Degree of polynomial is found by looking at term with the highest degree on its variable

Example :- x²+2x+1 The highest exponent is the 2 so this is a 2nd degree trinomial.

Given polynomial is 3xy²+5x²y

In this provided polynomial, the number of terms are two and highest degree is three.

so, this polynomial known as Three degree binomial

Thus, it is a Three degree binomial.

Answer 2

Answer: The answer is a cubic binomial.

Step-by-step explanation: The given polynomial is

`P(x,y) =-3xy^2+5x^2y.`

We are to write the truth about the above polynomial, its type, etc.

Since the polynomial contains two expressions (terms), so it is a binomial.

Also, the degree of both the terms
`-3xy^2` and
`5x^2y` is 3.

We know that the degree of a polynomial is the highest degree among the terms that are present in the polynomial, so the degree of P(x, y) is 3.

Therefore, P(x, y) is a binomial of degree 3.

Thus, it is a cubic binomial.