Question

What is the degree of the polynomial 5pq^2-3p^6+5p^6q^3-6p^3q^5

Answer 1

9

Explanation:

the degree of that polynomial is 9 as the term;
`5p^(6) q^(3)`

has the highest combined exponent that is
`p^(6)q^(3) ,  6+3=9`

it is the highest of any other term thus the sum i.e. 9 will be the degree

Answer 2

9

Explanation:

`5pq^2-3p^6+5p^6q^3-6p^3q^5\\\\\text{terms of the polynomial}\\\\5pq^2\to degree\ of\ 1+2=3\\\\-3p^6\to degree\ of\ 6\\\\5p^6q^3\to degree\ of\ 6+3=9\\\\-6p^3q^5\to degree\ of\ 3+5=8\\\\\text{Therefore, the polynomial has a degree of 9,}\\\text{ which is the highest degree of any term.}`