Question

find the degree of the polynomial: $2x^{2}y + 5xy - 10x^{3}y^{2}$
10
3
2
5

Explanation:

Step1: Recall degree - of - term formula

The degree of a term $ax^my^n$ in a polynomial in two variables $x$ and $y$ is $m + n$, where $a$ is a non - zero constant, and $m$ and $n$ are non - negative integers.

Step2: Calculate degree of each term

For the term $2x^{2}y$, the degree is $2 + 1=3$.
For the term $5xy$, the degree is $1+1 = 2$.
For the term $- 10x^{3}y^{2}$, the degree is $3 + 2=5$.

Step3: Determine polynomial degree

The degree of a polynomial is the highest degree of its terms. Since the highest degree among the terms is 5.

Answer:

5