Question

Which of the following are polynomials and which are not polynomials?

Answer 1

Answer:

only (2) and (4) are polynomial out of given options.

Step-by-step explanation:

Polynomial  is an expression having  variables having positive integer exponents with real constant coefficients. example $2x^2+3x+4$

We are given some polynomials and we have to choose whether are polynomial or not.

Consider ,

1) $x^{\frac{2}{7}}+1$

Since, Polynomial does not have a fractional exponent.

So, 1) Not a polynomial.

2) $-2x^3+2x+4$

Since all of the variables have integer exponents that are positive this is a polynomial.

3) $x^{-3}+4x$

Not a polynomial because a term has a negative exponent .

4) $6x-x^3+4x^2$

Since all of the variables have integer exponents that are positive this is a polynomial.

Thus, only (2) and (4) are polynomial out of given options.