The graph of a quadratic function does not cross the x-axis, but crosses 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.

B.

The quadratic function has no real zeros and one distinct complex zero.

C.

The quadratic function has one distinct real zero and one distinct complex zero.

D.

The quadratic function has two distinct complex zeros.

Question

Mathematics

Lou

6 January, 07:27

The graph of a quadratic function does not cross the x-axis, but crosses 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.

B.

The quadratic function has no real zeros and one distinct complex zero.

C.

The quadratic function has one distinct real zero and one distinct complex zero.

D.

The quadratic function has two distinct complex zeros.

+2

Answers (1)

Know the Answer?

Alicia Blackburn · Answer 1

Answer: D

Step-by-step explanation:

A quadratic function has a degree of 2 so there will be two roots. The statement says the function does NOT CROSS THE X-AXIS so there are no real roots. That means both roots must be imaginary (complex).