Given a polynomial \( f(x) \), the quotient \( \frac{f(x)}{x-6} \) has a remainder of 15. What is the value of \( f(6) \) ? \( f(6)= \)

According to the polynomial remainder theorem, the remainder when a polynomial \( f(x) \) is divided by \( x - c \) is equal to \( f(c) \). In this case, since the remainder when dividing by \( x - 6 \) is 15, it follows that \( f(6) = 15 \). So, \( f(6) = 15 \).