Answer:
A
Step-by-step explanation:
Recall that according to the Polynomial Remainder Theorem, if we divide a polynomial f(x) by a binomial in the form (x - a), then the remainder will be f(a).
And by the Factor Theorem, in order for a binomial (x - a) to be a factor of a polynomial f(x), the remainder must be 0. In other words, f(a) = 0.
We are given a polynomial f(x) and that (x - 3) is a factor.
Therefore, a = 3.
And since it is a factor, by the Factor Theorem, the remainder must be 0.
Therefore:
[tex]f(3)=0[/tex]
The answer is A.
