Question

Which of the following are not polynomials?

Answer 1

The correct answer is A,C,D

Answer 2

Option A,C and D are not polynomials.

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)=(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+√(2)x+1`

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

Option C

`p(x)=x^2+2√(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)=(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.