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Answer :
Final answer:
The degree of a polynomial is the highest power of its variable, and in this case, is 8. This is determined by looking at the variable's exponents and picking the highest one.
Explanation:
The degree of a polynomial is the highest power of its variable. In this polynomial - x⁶+2x⁸+5x+5x⁵+7 - the highest power of the variable x is 8. Thus, the degree of this polynomial is 8. We determine the degree of a polynomial by looking at the exponents of its variable(s) and picking the highest one. For example, in the equation 5x⁴+3x²+7x+1, the degree would be 4 because that is the highest exponent.
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