Question

Which algebraic expression is a polynomial with a degree of 2?

Answer 1

Answer:

The algebraic expression which is a polynomial with a degree of 2 is:

        4)  $6x^2-6x+5$

Step-by-step explanation:

Polynomial expression--

It is a algebraic expression which contains the natural powers of x.

We know that the general form of a quadratic polynomial i.e. a polynomial of degree 2 is given by:

     $p(x)=ax^2+bx+c$

where a,b and c are real numbers.

1)

$4x^3-2x$

It is a cubic polynomial i.e. a polynomial of degree 2.

Since the highest power of x in the expression is: 3

2)

$10x^2-\sqrt{x}$

It is not a polynomial since there is one term which is not a natural power of x.

3)

$8x^3+\dfrac{5}{x}+3$

Again we have a term which is not a natural power of x.

Since,

$\dfrac{5}{x}=5x^{-1}$

4)

$6x^2-6x+5$

It is a polynomial with degree 2 since it matches the general form of a polynomial of degree 2.

Answer 2

Degree 2 means the highest power of x is 2 and that is:

4). 6x² − 6x + 5