Answer :
Final answer:
Therefore, the degree of the given polynomial is 17.
Explanation:
The degree of a polynomial is defined as the highest power of the variable in the polynomial expression. In the case of the polynomial 25y17+ 17x3 - 21x7, we have two variables with different powers: y raised to the 17th power and x raised to the 7th power. To determine the degree of the polynomial, we need to find the term with the highest power, regardless of which variable that term contains. Comparing the exponents of y and x, we can see that the term 25y17 has the highest exponent, which is 17. Therefore, the degree of the given polynomial is 17.
