Respuesta :

texaschic101
when u have more then 1 variable, which this problem does, the degree is found by using the term that is greater (when adding the exponents)....

the degree of this is 9...

because :
5pq^2...this term has a degree of 3
3p^6...this has a degree of 6
5p^6q^3...this has a degree of 9
6p^3q^5....this has a degree of 8

so the degree of the polynomial is the highest one....and that is 9

The degree of the given polynomial [tex]5pq^2-3p^6+5p^6q^3-6p^3q^5[/tex] is   9

Explanation :

The given polynomial is [tex]5pq^2-3p^6+5p^6q^3-6p^3q^5[/tex]

Degree of the polynomial is the highest exponent value of the terms . To find out highest exponent , we add the exponents of each term

[tex]5pq^2----> 1+2=3\\-3p^6--->6\\+5p^6q^3--->6+3=9\\-6p^3q^5---> 3+5=8[/tex]

From this we can see that the highest exponent is 9.

so the degree of the given polynomial is 9

Learn more : brainly.com/question/9179769