Question

Which of the following algebraic expression are polynomials?
`(i) x^(1//2)+y^(1//2)+z^(1//2) " "(ii) x^(2)+y^(2)`
(iii) `sqrt(x)+3`
`sqrt(5)+x^(5)`
(v) 2016

Answer 1

Correct Answer - (ii), (iv),(v) are polynomials
(1) `x^((1)/(2))+y^((1)/(2))+z^((1)/(2))` is not a polynomial since the exponens of the variables are fractions.
(ii) `x^(2)+y^(2)` is a polynomial.
(iii) `sqrt(x)+3` is not a plynomial, since the variable `(sqrt(x)=x^((1)/(2)))` has fraction exponent.
(iv) `sqrt(5)+x^(5)` is a polynomial.
(v) 2016 is a polynomial of degree zero. It is a constant polynomial