Given a polynomial f(x) and that f(12)=0 , apply the Remainder Theorem and then determine which of the following is a factor of f(x) .(1 point)

Question

1. (x-12)
2. (x+12)
3. (x-0)
4. (x- 3/2)

Answer 1

The Remainder Theorem states that if a polynomial f(x) is divided by x - c, then the remainder is equal to f(c).

Since f(12) = 0, this means that the remainder when f(x) is divided by x - 12 is 0. Therefore, (x-12) is a factor of f(x).

Out of the given options, the factor that matches this is 1. (x-12).