Question

The polynomial 2x3y4-7x2y3 is what degree? 6 5 7 9

Answer 1

7

Explanation:

To find the degree of a polynomial you must find the term with the highest degree.

First, you must identify each term in the polynomial. In this problem there are two terms 2x^3 y^4, and -7x^2 y^3.

If there are multiple variables in the terms, like in this equation, you will add the exponents within the term.

For the term 2x^3 y^4 you will add the exponents 3 and 4 (3+4=7). The sum of the exponents is 7 meaning this term has a degree of 7.

For the term -7x^2 y^3 you will add the exponents 2 and 3 (2+3=5). This term has a degree of 5.

Since the highest degree term is 7, the degree of polynomial is 7.