Which of the following expressions are polynomials?
(i) 
(ii) 
(iii) 
(iv) 
(v) 
(vi) 
(vii)
(viii) 
(ix) 
(x) 1
(xi) 
(xii) 
In case of a polynomial, write its degree.
(i) 
Yes,
The given expression is a polynomial
This is because all the variables have integer exponents that are positive.
Since, the highest power of the variable is 5.
Hence, the degree of the polynomial is 5.
(ii) 
Yes,
The given expression is a polynomial
This is because all of the variables have integer exponents that are positive.
Since, the highest power of the variable is 3
Hence, the degree of the polynomial is 3
(iii) 
Yes,
The given expression is a polynomial
This is because all of the variables have integer exponents that are positive.
Since, the highest power of the variable is 2
Hence, the degree of the polynomial is 2
(iv)
No,
The given expression is not a polynomial
Since, the term has a fractional exponent.
(v) 
No,
The given expression is not a polynomial
Since, the term has a negative exponent.
(vi)
Yes,
The given expression is a polynomial
This is because all of the variables have integer exponents that are positive.
Since, the highest power of the variable is 108
Hence, the degree of the polynomial is 108
(vii)
No,
The given expression is not a polynomial
Since, the term has a fractional exponent.
(viii) 
Yes,
The given expression is a polynomial
This is because all of the variables have integer exponents that are positive.
Since, the highest power of the variable is 2
Hence, the degree of the polynomial is 2
(ix) 
No,
The given expression is not a polynomial
Since, the term has a negative exponent.
(x) 1
Yes,
The given expression is a polynomial
This is because all of the variables have integer exponents that are positive.
Since, the highest power of the variable is 0
Hence, the degree of the polynomial is 0
(xi) 
Yes,
The given expression is a polynomial
This is because all of the variables have integer exponents that are positive.
Since, the highest power of the variable is 0
Hence, the degree of the polynomial is 0
(xii) 
Yes,
The given expression is a polynomial
This is because all of the variables have integer exponents that are positive.
Since, the highest power of the variable is 2
Hence, the degree of the polynomial is 2