First determine the real zeros of the function by identifying the x-intercepts. Then, determine the maximum number of the possible x-intercepts to state the number of imaginary zeros.
C
Practice makes perfect
Let's first determine the real zeros of the function by identifying the x-intercepts.
The x-intercepts of the graph are (-4,0) and (3,0). Therefore, the real zeros are -4 and 3. Next, we will shift the graph vertically to see the maximum number of the possible x-intercepts.
When we shift the graph, the maximum number of the possible x-intercepts can be four. Therefore, there are four zeros in total. We know that two of them are real zeros, so the other two zeros are imaginary zeros. As a result, the zeros of the function can be -4, 3, i, and - i. The corresponding option is C.
