Question

which of the following is a polynomial-(i) ((x^3)/2) - (5/(x^2)) (ii) √3x - 1
(iii) x^2 + (4x^(3/2)) /√x (iv) (x+1) / (x-1)

Answer 1

ii and iii

polynomials are functions of quadratic,cubic,quartic etc involving only a non negative integer power of x.

since option (i) includes negative power(5x^-2) and option iv is a rational function

but option iii can be simplified to a polynomial function (x^2+(4x^3/2-1/2))=x^2+4x^2/2=x^2+4x