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In order to know the degree of the polynomial of a given expression, look for the variable having the largest exponent. So in the given polynomial above, the largest exponent is 8. Therefore, the polynomial has a degree of 8. So the answer would be option C. Hope this answer helps. 

Answer:

C. 8

Step-by-step explanation:

We know that,

The degree of a one variable polynomial is the highest power of its monomials with non-zero coefficients.

Here, the given polynomial is,

[tex]2x^7 + 4 - 3x^3 + 5x^8 - 4x[/tex]

By examining this polynomial,

We found that, the highest power of x is 8,

Hence, the degree of the given polynomial is 8.

Option C is correct.

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