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 [tex]2x^2+3x+4[/tex]
We are given some polynomials and we have to choose whether are polynomial or not.
Consider ,
1) [tex]x^{\frac{2}{7}}+1[/tex]
Since, Polynomial does not have a fractional exponent.
So, 1) Not a polynomial.
2) [tex]-2x^3+2x+4[/tex]
Since all of the variables have integer exponents that are positive this is a polynomial.
3) [tex]x^{-3}+4x[/tex]
Not a polynomial because a term has a negative exponent .
4) [tex]6x-x^3+4x^2[/tex]
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.
