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ANSWER

The algebraic expression that is a polynomial with a degree of 2 is
[tex]6 {x}^{2} - 6x + 5[/tex]



EXPLANATION

The degree of a term of a polynomial is the total sum of the exponents of the variables in each term.


The highest degree of the polynomial is considered the degree of the polynomial.



For first option,
[tex]4 {x}^{3} - 2x + 10[/tex]
the highest degree is 3.



The second option is,
[tex] {x}^{2} - 8 {x}^{3} + 3[/tex]
This polynomial also has a degree of 3.



The third option is,
[tex]6 {x}^{2} - 6x + 5[/tex]
This last option has a degree of 2.


Therefore the correct answer is option C.

Answer:

6x²-6x+5

Step-by-step explanation:

The degree of a polynomial is the highest power of x existing in a polynomial.

Now we will check every option

4x³-2x : The degree of this polynomial is three

10x²-8x³+3: The degree of this polynomial is also 3

6x²-6x+5: The degree of this polynomial is 2

Hence, the correct answer is:

6x²-6x+5