Which of the functions below have exactly
two distinct real zeros?
I. (v) = -12 + 14x – 45
II. 1.x) = 4x2 + 4
III. |(x) = 212 + 12x + 18
IV. /.x) = 3.x2 - 4x - 4
A. I and IV
C. II and III
B. I, II, and III
D. III and IV

A. I and IV

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

.

This polynomial has roots such that , given by the following formulas:

A quadratic equation has two distinct real zeros if:

So

I:

So function I has two distinct real zeros.

II:

Negative, so II has no real zeros.

III:

So III has one real zero with double multiplicity, that is, two equal zeros.

IV:

So function IV has two distinct real zeros.

So the correct answer is:

A. I and IV

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step-by-step explanation:

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yes they are the same