Question

The graph of a quadratic function intercepts the x-axis in the two places and the y-axis in one place.


According to the fundamental theorem of algebra, which of the following statements is correct?


1 The quadratic function has no real zeros and two non-real zeros.

2 The quadratic function has two distinct real zeros and one distinct non-real zero.

3 The quadratic function has two distinct real zeros.

4 The quadratic function has one distinct real zero and one distinct non-real zero.

Answer 1

Correct Answer:
Option 3. The quadratic function has two distinct real zeros.

The number of distinct real zeros of a function is equal to the number of x-intercepts of the function. In this case the quadratic function has 2 x-intercepts at 2 different places, this signifies that the function has 2 real zeros. Since the function is quadratic it can have only 2 zeros. 
The knowledge of y-intercept is extra and has nothing to do with the number of zeros of the function.

Answer 2

Answer: they are correct...

Step-by-step explanation: I just took the test...