Question

What is the degree of the polynomial 32x^4y^5 - 22xy + 16x^2y^8?

Answer 1

Answer: The degree of polynomial is 10

Explanation:

Alright, lets get started.

The given polynomial is :

`32x^4y^5-22xy+16x^2y^8`

The degree of the polynomial means, the maximum degree of the exponents of the terms of polynomial.

There are three terms in polynomial :

`x^4y^5,\ 22xy \ and \ 16x^2y^8`

Lets see the degree of each term.

`x^4y^5 \ : \ (4+5) = 9 \ degree`

`xy \ : (1+1) \ = 2\ degree`

`x^2y^8 \ : (2+8) = 10 \ degree`

So the maximum degree is 10

Hence the degree of polynomial is 10 : Answer

Hope it will help :)