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)

(x+12)

(x−0)

(x−3/2)

(x−12)

1 answer

Given that f(12) = 0, we can apply the Remainder Theorem which states that if a polynomial f(x) is divided by (x-a), the remainder is equal to f(a). In this case, (x+12) is divided by (x-12) and the remainder should be 0 if (x-12) is a factor of f(x).

Therefore, we can conclude that (x-12) is a factor of f(x).