Answer:
The algebraic expression which is a polynomial with a degree of 2 is:
4) [tex]6x^2-6x+5[/tex]
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:
[tex]p(x)=ax^2+bx+c[/tex]
where a,b and c are real numbers.
1)
[tex]4x^3-2x[/tex]
It is a cubic polynomial i.e. a polynomial of degree 2.
Since the highest power of x in the expression is: 3
2)
[tex]10x^2-\sqrt{x}[/tex]
It is not a polynomial since there is one term which is not a natural power of x.
3)
[tex]8x^3+\dfrac{5}{x}+3[/tex]
Again we have a term which is not a natural power of x.
Since,
[tex]\dfrac{5}{x}=5x^{-1}[/tex]
4)
[tex]6x^2-6x+5[/tex]
It is a polynomial with degree 2 since it matches the general form of a polynomial of degree 2.
