Answer
The zeros of the function exist at
x = -4 and x = 3
Step-by-step explanation
We are told to find the zero of the function, that is, the roots of the function by factoring.
f(x) = x² + x - 12
At the points where the roots of the function are, it is the point where the graph of the function crosses the x-axis and f(x) = 0. So,
x² + x - 12 = 0
x² + 4x - 3x - 12 = 0
x (x + 4) - 3 (x + 4) = 0
(x + 4) (x - 3) = 0
x + 4 = 0 OR x - 3 = 0
x = -4 OR x = 3
Hope this Helps!!!