Question

4. which algebraic expression is a polynomial with a degree of 2? 4x3 − 2x 10x2 − 8x3 3 6x2 − 6x 5

Answer 1

ANSWER

The algebraic expression that is a polynomial with a degree of 2 is

`6 {x}^(2) - 6x + 5`



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,

`4 {x}^(3) - 2x + 10`
the highest degree is 3.



The second option is,

`{x}^(2) - 8 {x}^(3) + 3`
This polynomial also has a degree of 3.



The third option is,

`6 {x}^(2) - 6x + 5`
This last option has a degree of 2.


Therefore the correct answer is option C.

Answer 2

6x²-6x+5

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