To apply the Remainder Theorem, we need to divide the polynomial f(x) by each of the given factors and check for a remainder of 0.
1. (x - 3/2): Divide f(x) by (x - 3/2) and check if there is a remainder of 0.
2. (x - 0): Divide f(x) by (x - 0) = x and check if there is a remainder of 0.
3. (x + 12): Divide f(x) by (x + 12) and check if there is a remainder of 0.
4. (x - 12): Divide f(x) by (x - 12) and check if there is a remainder of 0.
Since we are given that f(12) = 0, we can conclude that (x - 12) is a factor of f(x).
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)
(x - 3/2)
(x - 0)
(x + 12)
(x - 12)
1 answer