Answer:
4 and -3
Explanation:
So our function is f(x) = x² - x -12
We need to find factors such that 0 = x² - x -12
So, it looks something like this 0 = (x - a)(x - b)
We know that the first term is x², which can only be obtained if we multiply x by another x.
Now, we need to find the other terms a and b. We know that a × b = -12
The correct answer would be that a = 4 and b = -3
0 = (x - 4)(x + 3)
We know this because, if we multiply this out, we get x² + 3x -4x -12, which can be simplified to x² -x -12.
Our zeroes are the values of x that this equation 0 = (x - 4)(x + 3) is true. What values of x will make this zero?
4 and -3