10
QuizMultiple Choice

Quadratics and Complex Numbers — Test

Question 10 • Algebra II

If x is equal to negative 3 is the only x -intercept of the graph of a quadratic equation, which statement best describes the discriminant of the equation?

Answer
A
The discriminant is 0 .
B
The discriminant is negative .
C
The discriminant is negative 3 .
D
The discriminant is positive.

Explanation

An x-intercept occurs where the quadratic equals 0, so x-intercepts are real solutions (roots). If x = −3 is the only x-intercept, the quadratic has one distinct real root, which means it is a repeated root. A quadratic has a repeated real root when its discriminant is 0, so the discriminant is 0.

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