Question

Which among these is a polynomial a)√2x+1 or b) x^2 + (3x^3/2 / √x)

Answer 1

The second expression is a polynomial.

For a quantity to be called as a polynomial, it must have all the powers of the variables as whole numbers.

(a) 2(x^½)+1

The degree is 1/2 which is not a whole number.

So, it can't be a polynomial.

(b) 3[x^(3/2)]÷√x

or [3.√x³]÷√x

= [3.x√x]÷√x

⇒3x is the final value of the expression, where the degree is 1 which is a whole number. So, its a polynomial.