which is true about the polynomial $9x^{2}y - 6x - 5y^{2}$?\nit is a binomial with a degree of 2.\nit is a…

Explanation:

Step1: Identify the number of terms

The polynomial $9x^{2}y - 6x - 5y^{2}$ has three terms: $9x^{2}y$, $-6x$, and $-5y^{2}$. A polynomial with three terms is a trinomial.

Step2: Find the degree of the polynomial

The degree of a term in a polynomial in two - variables $x$ and $y$ is the sum of the exponents of the variables in that term. For the term $9x^{2}y$, the degree is $2 + 1=3$; for the term $-6x$, the degree is 1; for the term $-5y^{2}$, the degree is 2. The degree of the polynomial is the highest degree of its terms, which is 3.

Answer:

It is a trinomial with a degree of 3.