Question

Which of the following are not polynomials?

Answer 1

Option A,C and D are not polynomials.

Step-by-step explanation:

Polynomial functions are given by

              p(x) = a₀ + a₁x¹+ a₂x²+ ...........+aₙxⁿ

              Where a₀, a₁, a₂, ..., an are constant coefficients and n is non negative integer.

Option A

         $p(x)=\frac{2}{x^2}+x+1\\\\p(x)=2x^{-2}+x+1$

         Here one exponent of x is -2, so this is not a polynomial function.

Option B

         $p(x)=x^2+\sqrt{2}x+1$

         Here all the exponents are non negative integer, so this is a polynomial.

Option C

       $p(x)=x^2+2\sqrt{x}+1$

         Here one exponent of x is 0.5, so this is not a polynomial function.

Option D

       p(x)= x⁻²+x+1

         Here one exponent of x is -2, so this is not a polynomial function.

Option E

         $p(x)=\frac{2}{3}x^2+x+1$

         Here all the exponents are non negative integer, so this is a polynomial.

Option A,C and D are not polynomials.

Answer 2

The correct answer is A,C,D