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

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

A.
The quadratic function has two distinct real zeros and one distinct complex zero.
B.
The quadratic function has one distinct real zero and one distinct complex zero.
C.
The quadratic function has two distinct real zeros.
D.
The quadratic function has no real zeros and two complex zeros.

Respuesta :

laxbro2007

Answer:

Step-by-step explanation:

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.

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