Final answer:
To find the remainder when f(x) is divided by x-2, substitute x=2 into the polynomial and solve.
Step-by-step explanation:
To find the remainder when f(x) is divided by x-2, we can use the Remainder Theorem. The Remainder Theorem states that if a polynomial f(x) is divided by x-a, then the remainder is equal to f(a).
In this case, f(x) = 3x^5 + 4, and we are dividing by x-2. So, to find the remainder, we substitute x=2 into the polynomial: f(2) = 3(2)^5 + 4 = 3(32) + 4 = 96 + 4 = 100.
Therefore, the remainder when f(x) is divided by x-2 is 100.