Answer:
The remainder when f(x) is divided by x - 1 is 6.
Explanation:
To find the remainder when f(x) is divided by x - 1, we can use the remainder theorem, which states that the remainder of f(x) when divided by x - a is equal to f(a).
So, in this case, we need to evaluate f(1) to find the remainder when f(x) is divided by x - 1:
f(1) = 2(1)^3 + (1)^2 + 3
= 2 + 1 + 3
= 6
Therefore, the remainder when f(x) is divided by x - 1 is 6.