Respuesta :

Answer:  The answer is a cubic binomial.

Step-by-step explanation:  The given polynomial is

[tex]P(x,y) =-3xy^2+5x^2y.[/tex]

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 [tex]-3xy^2[/tex] and [tex]5x^2y[/tex] 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.

Answer:

It is Three degree binomial.

Step-by-step 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.

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