Which of the following expressions are polynomials? In case of a polynomial, write its degree.
(i) x22−2x2
(ii) 2√2x2−8
(iii) 12x2
(i) x22−2x2 . This is an expression having a negative integral power of x i.e. −2. So, it is not a polynomial.
(ii) 2√2x2−8 is an expression having an only non-negative integral power of x. So, it is a polynomial. Also, the highest power of x is 2, so, it is a polynomial of degree 2.
(iii) 12x2 is an expression having a negative integral power of x. So, it is not a polynomial.