Final answer:
The degree of a polynomial is the highest exponent of the variable present in the polynomial.The degree of the given polynomial is 7, which is determined by the highest exponent in the polynomial's terms.
Step-by-step explanation:
The degree of a polynomial is the highest exponent of any term in the polynomial. Looking at the given function f(x) = 12x⁷ + 15x⁴ - x³ /(21) -17x - (1)/(14), we can identify that the term with the highest exponent is 12x⁷. The degree of a polynomial is the highest exponent of the variable present in the polynomial.Therefore, the degree of this polynomial is 7.