Answer :

Final answer:

The degree of the polynomial 5x⁶ - 8x⁷ + 9x² - 6 is 7, as that is the highest power present in the polynomial.

Explanation:

The degree of a polynomial refers to the highest power of the variable within the polynomial. For the polynomial provided, which is 5x⁶ - 8x⁷ + 9x² - 6, the terms have exponents of 6, 7, 2, and 0 respectively. The largest of these values is 7. Thus, we can determine that the degree of the polynomial is 7.

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