Respuesta :

Answer:

5

Step-by-step explanation:

The degree of a polynomial is found by identifying the term with the largest exponent. The degree of a term is found by adding all the exponents of the variables of that term.

For example: [tex]3x^{2} yx^{3}[/tex]

The degree of this term is found by adding all the exponents: 2+1+3=6

In the case of a polynomial, it meets the largest degree term

For example: [tex]2x^{2} y+5x^{2} y^{2} z-8x^{4}[/tex]

If we add the exponents of each term, we will have the term with the greatest degree :   5

The degree of the polynomial, [tex]x^5-4x+2[/tex] is 5.

What is the Degree of a Polynomial?

The degree of a polynomial can be defined as the largest exponents on any of the variables of a polynomial of the largest sum of exponents, if any of it's term has multiple variables.

Thus: The largest exponent in [tex]x^5-4x+2[/tex] is 5.

Therefore, the degree of the polynomial, [tex]x^5-4x+2[/tex] is 5.

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