Final answer:
The value of f(7) is 26.
Step-by-step explanation:
In this question, we are given a polynomial f(x) and we are asked to find the value of f(7). We are also given that when we divide f(x) by (x-7), the quotient has a remainder of 26.
To find the value of f(7), we can use the Remainder Theorem, which states that if a polynomial f(x) is divided by (x-a) and the remainder is r, then f(a) = r.
Therefore, since the remainder when f(x) is divided by (x-7) is 26, we can conclude that f(7) = 26.