Final answer:
The constant coefficient of the given polynomial function 2401 is the number 2401 itself, as it stands alone without any variable attached.
Step-by-step explanation:
The student you're helping is looking for the constant coefficients of a polynomial, which are the numbers that multiply the variable terms or stand alone as a term. For a standalone number such as 2401, this number is itself the constant coefficient of the polynomial, since it can be considered as 2401x^0 where x^0 equals 1 for any x not equal to 0. This means the polynomial function can be interpreted as f(x) = 2401, where 2401 is the constant term.