Question

Which algebraic expression is a polynomial?

Answer 1

Answer:

$-6x^3+x^2-\sqrt{5}$

Step-by-step explanation:

The general expression of a polynomial of degree n in the variable x is expressed mathematically as:

$P(x)=a_nx^n+a_n_-_1x^{n-1}+...+a_1x^1+a_0x^0$

$n\in N$

Considering the previous definition, let's analyze every expression:

$\frac{4x^2-3x+2}{x}$

It is not polynomial, because the variable is in the denominator.

$-6x^3+x^2-\sqrt{5}$

It is a polynomial, because the exponents of the variables are positive integers.

$8x^2+\sqrt{x} =8x^2+x^{1/2}$

It is not polynomial, because in the expression there is an exponent that is not a positive integer

$\frac{-2x^4+3}{2x}$

It is not polynomial, because the variable is in the denominator.

Answer 2

The answer to this question is
-6x^3+x^2- the square root of 5