Final answer:
The degree of the polynomial 4x⁵ - x³ + 2x² - 15 is 5, which is the highest power of the variable x.
Step-by-step explanation:
The degree of a polynomial is the highest power of the variable in the polynomial. For the polynomial 4x⁵ - x³ + 2x² - 15, the term with the highest power of x is 4x⁵, which has a degree of 5. Therefore, the degree of this polynomial is 5.
The degree of a polynomial is determined by the highest power of the variable in the polynomial. In this case, the highest power of x is 5, so the degree of the polynomial is 5.