Write degree of the following polynomials.
(i) `2017x^(7)+2018x^(6)+2019x^(5)`
(ii) `x^(2)y-x^(3)y+xy^(3)-x^(3)y^(3)`
(iii) 2018

Answer

(i) 7
(ii) 5
(iii) 0

Explanation

(i)n `2017x^(7)+2018x^(6)+2019x^(5)`
The highest exponent of the variable x is 7.
`:.` Degree of the given polnomial is 7.
(ii) `x^(2)y-x^(3)y+xy^(3)-x^(2)y^(3)`
Sicne it is a polnomial of two variables, the degree of the temr is the sum of the expornets of the variables.
`:.` The highest degree term is `-x^(2)y^(3)`
`:.` The degree of the polnomial is 2+3=5
(iii) 2018 is a constant polynomial. Hence, its degree is zero.