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

Question

asked Apr 14, 2021 229k views

1 Answer

Akash Rana · Answer 1 · 2021-04-20T02:23:51+0000

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 :)